4458263040 has 720 divisors, whose sum is σ = 19648474560. Its totient is φ = 923811840.

The previous prime is 4458263023. The next prime is 4458263057. The reversal of 4458263040 is 403628544.

4458263040 is a `hidden beast` number, since 4 + 4 + 582 + 6 + 30 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4458263023) and next prime (4458263057).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×4458263040² = 39752218667660083200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4458262986 and 4458263004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12418381 + ... + 12418739.

It is an arithmetic number, because the mean of its divisors is an integer number (27289548).

Almost surely, 2^4458263040 is an apocalyptic number.

4458263040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4458263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9824237280).

4458263040 is an abundant number, since it is smaller than the sum of its proper divisors (15190211520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4458263040 is a wasteful number, since it uses less digits than its factorization.

4458263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4458263040 is about 66770.2256997833. The cubic root of 4458263040 is about 1645.8435992965.

The spelling of 4458263040 in words is "four billion, four hundred fifty-eight million, two hundred sixty-three thousand, forty".