40217160960 has 432 divisors, whose sum is σ = 145172401920. Its totient is φ = 10659962880.

The previous prime is 40217160943. The next prime is 40217161031. The reversal of 40217160960 is 6906171204.

40217160960 is a `hidden beast` number, since 40 + 2 + 1 + 7 + 1 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74338290 + ... + 74338830.

Almost surely, 2^40217160960 is an apocalyptic number.

40217160960 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 40217160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72586200960).

40217160960 is an abundant number, since it is smaller than the sum of its proper divisors (104955240960).

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

40217160960 is an equidigital number, since it uses as much as digits as its factorization.

40217160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 40217160960 in words is "forty billion, two hundred seventeen million, one hundred sixty thousand, nine hundred sixty".