4514153040 has 240 divisors, whose sum is σ = 15728993280. Its totient is φ = 1159004160.

The previous prime is 4514153027. The next prime is 4514153131. The reversal of 4514153040 is 403514154.

It is a happy number.

4514153040 is a `hidden beast` number, since 4 + 51 + 41 + 530 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 4514152995 and 4514153013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5869776 + ... + 5870544.

It is an arithmetic number, because the mean of its divisors is an integer number (65537472).

Almost surely, 2^4514153040 is an apocalyptic number.

4514153040 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 4514153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7864496640).

4514153040 is an abundant number, since it is smaller than the sum of its proper divisors (11214840240).

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

4514153040 is a wasteful number, since it uses less digits than its factorization.

4514153040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4514153040 is about 67187.4470418396. The cubic root of 4514153040 is about 1652.6926392973.

Adding to 4514153040 its reverse (403514154), we get a palindrome (4917667194).

The spelling of 4514153040 in words is "four billion, five hundred fourteen million, one hundred fifty-three thousand, forty".