40272429888000 has 960 divisors, whose sum is σ = 154283407229952. Its totient is φ = 10061719142400.

The previous prime is 40272429887939. The next prime is 40272429888043. The reversal of 40272429888000 is 88892427204.

40272429888000 is a `hidden beast` number, since 4 + 0 + 272 + 4 + 298 + 8 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 2183606779 + ... + 2183625221.

Almost surely, 2^{40272429888000} is an apocalyptic number.

40272429888000 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 40272429888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77141703614976).

40272429888000 is an abundant number, since it is smaller than the sum of its proper divisors (114010977341952).

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

40272429888000 is a wasteful number, since it uses less digits than its factorization.

40272429888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18722 (or 18693 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 40272429888000 in words is "forty trillion, two hundred seventy-two billion, four hundred twenty-nine million, eight hundred eighty-eight thousand".