40432089600000 has 2184 divisors, whose sum is σ = 173448681698880. Its totient is φ = 9226690560000.

The previous prime is 40432089599987. The next prime is 40432089600041. The reversal of 40432089600000 is 698023404.

It is a happy number.

40432089600000 is a `hidden beast` number, since 4 + 0 + 43 + 2 + 0 + 8 + 9 + 600 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 65318399691 + ... + 65318400309.

Almost surely, 2^{40432089600000} is an apocalyptic number.

40432089600000 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 40432089600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86724340849440).

40432089600000 is an abundant number, since it is smaller than the sum of its proper divisors (133016592098880).

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

40432089600000 is an frugal number, since it uses more digits than its factorization.

40432089600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40432089600000 in words is "forty trillion, four hundred thirty-two billion, eighty-nine million, six hundred thousand".