40357868160 has 256 divisors, whose sum is σ = 134527392000. Its totient is φ = 10271686656.

The previous prime is 40357868143. The next prime is 40357868191. The reversal of 40357868160 is 6186875304.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31308796 + ... + 31310084.

It is an arithmetic number, because the mean of its divisors is an integer number (525497625).

Almost surely, 2^40357868160 is an apocalyptic number.

40357868160 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 40357868160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67263696000).

40357868160 is an abundant number, since it is smaller than the sum of its proper divisors (94169523840).

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

40357868160 is a wasteful number, since it uses less digits than its factorization.

40357868160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2031 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 40357868160 in words is "forty billion, three hundred fifty-seven million, eight hundred sixty-eight thousand, one hundred sixty".