4034257920 has 704 divisors, whose sum is σ = 17921894400. Its totient is φ = 836075520.

The previous prime is 4034257919. The next prime is 4034257961. The reversal of 4034257920 is 297524304.

4034257920 is a `hidden beast` number, since 40 + 3 + 42 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 10644291 + ... + 10644669.

Almost surely, 2^4034257920 is an apocalyptic number.

4034257920 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 4034257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8960947200).

4034257920 is an abundant number, since it is smaller than the sum of its proper divisors (13887636480).

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

4034257920 is a wasteful number, since it uses less digits than its factorization.

4034257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4034257920 is about 63515.8084259344. The cubic root of 4034257920 is about 1591.9199306548.

The spelling of 4034257920 in words is "four billion, thirty-four million, two hundred fifty-seven thousand, nine hundred twenty".