40217506560 has 1728 divisors, whose sum is σ = 193272791040. Its totient is φ = 7803371520.

The previous prime is 40217506523. The next prime is 40217506573. The reversal of 40217506560 is 6560571204.

It is a happy number.

40217506560 is a `hidden beast` number, since 4 + 0 + 21 + 75 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 316673217 + ... + 316673343.

It is an arithmetic number, because the mean of its divisors is an integer number (111847680).

Almost surely, 2^40217506560 is an apocalyptic number.

40217506560 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 40217506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96636395520).

40217506560 is an abundant number, since it is smaller than the sum of its proper divisors (153055284480).

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

40217506560 is a wasteful number, since it uses less digits than its factorization.

40217506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 40217506560 in words is "forty billion, two hundred seventeen million, five hundred six thousand, five hundred sixty".