40095628560 has 1200 divisors, whose sum is σ = 166061871360. Its totient is φ = 8928092160.

The previous prime is 40095628543. The next prime is 40095628589. The reversal of 40095628560 is 6582659004.

40095628560 is a `hidden beast` number, since 4 + 0 + 0 + 9 + 562 + 85 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 853098457 + ... + 853098503.

Almost surely, 2^40095628560 is an apocalyptic number.

40095628560 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 40095628560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83030935680).

40095628560 is an abundant number, since it is smaller than the sum of its proper divisors (125966242800).

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

40095628560 is a wasteful number, since it uses less digits than its factorization.

40095628560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 40095628560 in words is "forty billion, ninety-five million, six hundred twenty-eight thousand, five hundred sixty".