40390272000 has 1408 divisors, whose sum is σ = 171672883200. Its totient is φ = 9289728000.

The previous prime is 40390271951. The next prime is 40390272007. The reversal of 40390272000 is 27209304.

40390272000 is a `hidden beast` number, since 4 + 0 + 390 + 272 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40390272007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1302911985 + ... + 1302912015.

Almost surely, 2^40390272000 is an apocalyptic number.

40390272000 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 40390272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85836441600).

40390272000 is an abundant number, since it is smaller than the sum of its proper divisors (131282611200).

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

40390272000 is a wasteful number, since it uses less digits than its factorization.

40390272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 40390272000 in words is "forty billion, three hundred ninety million, two hundred seventy-two thousand".