4012092456000 has 224 divisors, whose sum is σ = 13251719325312. Its totient is φ = 1069585254400.

The previous prime is 4012092455999. The next prime is 4012092456007. The reversal of 4012092456000 is 6542902104.

It is a super-2 number, since 2×4012092456000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4012092456007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91105987 + ... + 91150013.

Almost surely, 2^{4012092456000} is an apocalyptic number.

4012092456000 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 4012092456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625859662656).

4012092456000 is an abundant number, since it is smaller than the sum of its proper divisors (9239626869312).

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

4012092456000 is a wasteful number, since it uses less digits than its factorization.

4012092456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47854 (or 47834 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 4012092456000 in words is "four trillion, twelve billion, ninety-two million, four hundred fifty-six thousand".