40363868160 has 1200 divisors, whose sum is σ = 182698306560. Its totient is φ = 8281128960.

The previous prime is 40363868143. The next prime is 40363868189. The reversal of 40363868160 is 6186836304.

40363868160 is a `hidden beast` number, since 4 + 0 + 3 + 638 + 6 + 8 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 510935001 + ... + 510935079.

Almost surely, 2^40363868160 is an apocalyptic number.

40363868160 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 40363868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91349153280).

40363868160 is an abundant number, since it is smaller than the sum of its proper divisors (142334438400).

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

40363868160 is an equidigital number, since it uses as much as digits as its factorization.

40363868160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 40363868160 in words is "forty billion, three hundred sixty-three million, eight hundred sixty-eight thousand, one hundred sixty".