40628495160 has 320 divisors, whose sum is σ = 157736509920. Its totient is φ = 9269821440.

The previous prime is 40628495147. The next prime is 40628495179. The reversal of 40628495160 is 6159482604.

40628495160 is a `hidden beast` number, since 4 + 0 + 628 + 4 + 9 + 5 + 16 + 0 = 666.

40628495160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40628495160² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 79 ways as a sum of consecutive naturals, for example, 572352 + ... + 639408.

Almost surely, 2^40628495160 is an apocalyptic number.

40628495160 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 40628495160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78868254960).

40628495160 is an abundant number, since it is smaller than the sum of its proper divisors (117108014760).

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

40628495160 is a wasteful number, since it uses less digits than its factorization.

40628495160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67108 (or 67095 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 40628495160 in words is "forty billion, six hundred twenty-eight million, four hundred ninety-five thousand, one hundred sixty".