4258049040 has 240 divisors, whose sum is σ = 17061586560. Its totient is φ = 973244160.

The previous prime is 4258049023. The next prime is 4258049053. The reversal of 4258049040 is 409408524.

4258049040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 = 4258048986 and 4258049004.

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, 85725 + ... + 125955.

It is an arithmetic number, because the mean of its divisors is an integer number (71089944).

Almost surely, 2^4258049040 is an apocalyptic number.

4258049040 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 4258049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8530793280).

4258049040 is an abundant number, since it is smaller than the sum of its proper divisors (12803537520).

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

4258049040 is a wasteful number, since it uses less digits than its factorization.

4258049040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40267 (or 40248 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4258049040 is about 65253.7281693544. The cubic root of 4258049040 is about 1620.8278347843.

The spelling of 4258049040 in words is "four billion, two hundred fifty-eight million, forty-nine thousand, forty".