40475179712160 has 384 divisors, whose sum is σ = 145016012655360. Its totient is φ = 10538125774848.

The previous prime is 40475179712119. The next prime is 40475179712179. The reversal of 40475179712160 is 6121797157404.

40475179712160 is a `hidden beast` number, since 4 + 0 + 47 + 517 + 9 + 7 + 1 + 21 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 40475179712097 and 40475179712106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 474945714 + ... + 475030926.

It is an arithmetic number, because the mean of its divisors is an integer number (377645866290).

Almost surely, 2^{40475179712160} is an apocalyptic number.

40475179712160 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 40475179712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72508006327680).

40475179712160 is an abundant number, since it is smaller than the sum of its proper divisors (104540832943200).

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

40475179712160 is a wasteful number, since it uses less digits than its factorization.

40475179712160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87837 (or 87823 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 40475179712160 in words is "forty trillion, four hundred seventy-five billion, one hundred seventy-nine million, seven hundred twelve thousand, one hundred sixty".