40071976560 has 1200 divisors, whose sum is σ = 179597880000. Its totient is φ = 8270760960.

The previous prime is 40071976517. The next prime is 40071976583. The reversal of 40071976560 is 6567917004.

It is a happy number.

40071976560 is a `hidden beast` number, since 4 + 0 + 0 + 7 + 19 + 76 + 560 = 666.

40071976560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 239 ways as a sum of consecutive naturals, for example, 268939366 + ... + 268939514.

It is an arithmetic number, because the mean of its divisors is an integer number (149664900).

Almost surely, 2^40071976560 is an apocalyptic number.

40071976560 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 40071976560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89798940000).

40071976560 is an abundant number, since it is smaller than the sum of its proper divisors (139525903440).

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

40071976560 is a wasteful number, since it uses less digits than its factorization.

40071976560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 40071976560 in words is "forty billion, seventy-one million, nine hundred seventy-six thousand, five hundred sixty".