40700431314432 has 800 divisors, whose sum is σ = 130855889320992. Its totient is φ = 12548331012096.

The previous prime is 40700431314409. The next prime is 40700431314443. The reversal of 40700431314432 is 23441313400704.

40700431314432 is a `hidden beast` number, since 40 + 7 + 0 + 0 + 43 + 131 + 443 + 2 = 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 79 ways as a sum of consecutive naturals, for example, 28011307818 + ... + 28011309270.

Almost surely, 2^{40700431314432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40700431314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65427944660496).

40700431314432 is an abundant number, since it is smaller than the sum of its proper divisors (90155458006560).

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

40700431314432 is a wasteful number, since it uses less digits than its factorization.

40700431314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 40700431314432 in words is "forty trillion, seven hundred billion, four hundred thirty-one million, three hundred fourteen thousand, four hundred thirty-two".