4012904958720 has 864 divisors, whose sum is σ = 15388285592064. Its totient is φ = 872969011200.

The previous prime is 4012904958613. The next prime is 4012904958883. The reversal of 4012904958720 is 278594092104.

It is a super-2 number, since 2×4012904958720² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3426903735 + ... + 3426904905.

Almost surely, 2^{4012904958720} is an apocalyptic number.

4012904958720 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 4012904958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7694142796032).

4012904958720 is an abundant number, since it is smaller than the sum of its proper divisors (11375380633344).

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

4012904958720 is a wasteful number, since it uses less digits than its factorization.

4012904958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 4012904958720 in words is "four trillion, twelve billion, nine hundred four million, nine hundred fifty-eight thousand, seven hundred twenty".