40122100284876 has 144 divisors (see below), whose sum is σ = 104304894613920. Its totient is φ = 12998374871040.

The previous prime is 40122100284859. The next prime is 40122100284947. The reversal of 40122100284876 is 67848200122104.

40122100284876 is a `hidden beast` number, since 40 + 1 + 2 + 2 + 100 + 28 + 487 + 6 = 666.

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, 1040464636 + ... + 1040503196.

It is an arithmetic number, because the mean of its divisors is an integer number (724339545930).

Almost surely, 2^{40122100284876} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40122100284876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52152447306960).

40122100284876 is an abundant number, since it is smaller than the sum of its proper divisors (64182794329044).

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

40122100284876 is a wasteful number, since it uses less digits than its factorization.

40122100284876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43736 (or 43731 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 40122100284876 in words is "forty trillion, one hundred twenty-two billion, one hundred million, two hundred eighty-four thousand, eight hundred seventy-six".