40142177647362 has 96 divisors (see below), whose sum is σ = 100002203368704. Its totient is φ = 11399739120000.

The previous prime is 40142177647357. The next prime is 40142177647379. The reversal of 40142177647362 is 26374677124104.

40142177647362 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 217 + 7 + 64 + 7 + 362 = 666.

It is a super-2 number, since 2×40142177647362² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40142177647299 and 40142177647308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42337987 + ... + 43275737.

It is an arithmetic number, because the mean of its divisors is an integer number (1041689618424).

Almost surely, 2^{40142177647362} is an apocalyptic number.

40142177647362 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40142177647362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50001101684352).

40142177647362 is an abundant number, since it is smaller than the sum of its proper divisors (59860025721342).

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

40142177647362 is a wasteful number, since it uses less digits than its factorization.

40142177647362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939824 (or 939821 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 40142177647362 in words is "forty trillion, one hundred forty-two billion, one hundred seventy-seven million, six hundred forty-seven thousand, three hundred sixty-two".