40429036368 has 240 divisors, whose sum is σ = 133243741696. Its totient is φ = 11204904960.

The previous prime is 40429036331. The next prime is 40429036391. The reversal of 40429036368 is 86363092404.

40429036368 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 9 + 0 + 3 + 636 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4484121 + ... + 4493127.

Almost surely, 2^40429036368 is an apocalyptic number.

40429036368 is a gapful number since it is divisible by the number (48) 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 40429036368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66621870848).

40429036368 is an abundant number, since it is smaller than the sum of its proper divisors (92814705328).

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

40429036368 is a wasteful number, since it uses less digits than its factorization.

40429036368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9162 (or 9153 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 40429036368 in words is "forty billion, four hundred twenty-nine million, thirty-six thousand, three hundred sixty-eight".