4016257792 has 144 divisors (see below), whose sum is σ = 8871287040. Its totient is φ = 1808142336.

The previous prime is 4016257783. The next prime is 4016257807. The reversal of 4016257792 is 2977526104.

4016257792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4016257792² = 32260653303601430528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7342063 + ... + 7342609.

It is an arithmetic number, because the mean of its divisors is an integer number (61606160).

Almost surely, 2^4016257792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4016257792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435643520).

4016257792 is an abundant number, since it is smaller than the sum of its proper divisors (4855029248).

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

4016257792 is a wasteful number, since it uses less digits than its factorization.

4016257792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 43.

The square root of 4016257792 is about 63373.9519992244. The cubic root of 4016257792 is about 1589.5487811568.

The spelling of 4016257792 in words is "four billion, sixteen million, two hundred fifty-seven thousand, seven hundred ninety-two".