40172551344 has 100 divisors (see below), whose sum is σ = 116576038656. Its totient is φ = 13355722368.

The previous prime is 40172551337. The next prime is 40172551399. The reversal of 40172551344 is 44315527104.

40172551344 is a `hidden beast` number, since 4 + 0 + 1 + 72 + 551 + 34 + 4 = 666.

40172551344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40172551344² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40172551299 and 40172551308.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 455902 + ... + 536834.

Almost surely, 2^40172551344 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 40172551344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58288019328).

40172551344 is an abundant number, since it is smaller than the sum of its proper divisors (76403487312).

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

40172551344 is a wasteful number, since it uses less digits than its factorization.

40172551344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81336 (or 81321 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 40172551344 in words is "forty billion, one hundred seventy-two million, five hundred fifty-one thousand, three hundred forty-four".