4012917456 has 320 divisors, whose sum is σ = 12129937920. Its totient is φ = 1135411200.

The previous prime is 4012917431. The next prime is 4012917463. The reversal of 4012917456 is 6547192104.

It is a super-2 number, since 2×4012917456² = 32207013017339023872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39731806 + ... + 39731906.

It is an arithmetic number, because the mean of its divisors is an integer number (37906056).

Almost surely, 2^4012917456 is an apocalyptic number.

4012917456 is a gapful number since it is divisible by the number (46) 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 4012917456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6064968960).

4012917456 is an abundant number, since it is smaller than the sum of its proper divisors (8117020464).

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

4012917456 is a wasteful number, since it uses less digits than its factorization.

4012917456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 4012917456 is about 63347.5923457238. The cubic root of 4012917456 is about 1589.1079811231.

The spelling of 4012917456 in words is "four billion, twelve million, nine hundred seventeen thousand, four hundred fifty-six".