40509407232000 has 2432 divisors, whose sum is σ = 177553609359360. Its totient is φ = 8918138880000.

The previous prime is 40509407231999. The next prime is 40509407232023. The reversal of 40509407232000 is 23270490504.

40509407232000 is a `hidden beast` number, since 40 + 5 + 0 + 9 + 407 + 2 + 3 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 191987711895 + ... + 191987712105.

Almost surely, 2^{40509407232000} is an apocalyptic number.

40509407232000 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 40509407232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88776804679680).

40509407232000 is an abundant number, since it is smaller than the sum of its proper divisors (137044202127360).

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

40509407232000 is an frugal number, since it uses more digits than its factorization.

40509407232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 40509407232000 in words is "forty trillion, five hundred nine billion, four hundred seven million, two hundred thirty-two thousand".