40431031168000 has 704 divisors, whose sum is σ = 111762725667840. Its totient is φ = 14473396224000.

The previous prime is 40431031167937. The next prime is 40431031168007. The reversal of 40431031168000 is 86113013404.

It is a tau number, because it is divible by the number of its divisors (704).

It is not an unprimeable number, because it can be changed into a prime (40431031168007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25933951221 + ... + 25933952779.

Almost surely, 2^{40431031168000} is an apocalyptic number.

40431031168000 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 40431031168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55881362833920).

40431031168000 is an abundant number, since it is smaller than the sum of its proper divisors (71331694499840).

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

40431031168000 is a wasteful number, since it uses less digits than its factorization.

40431031168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 40431031168000 in words is "forty trillion, four hundred thirty-one billion, thirty-one million, one hundred sixty-eight thousand".