40100788464 has 80 divisors (see below), whose sum is σ = 113099725440. Its totient is φ = 12142247680.

The previous prime is 40100788457. The next prime is 40100788471. The reversal of 40100788464 is 46488700104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40100788457) and next prime (40100788471).

It is a super-3 number, since 3×40100788464³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 661042 + ... + 719150.

It is an arithmetic number, because the mean of its divisors is an integer number (1413746568).

Almost surely, 2^40100788464 is an apocalyptic number.

40100788464 is a gapful number since it is divisible by the number (44) 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 40100788464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56549862720).

40100788464 is an abundant number, since it is smaller than the sum of its proper divisors (72998936976).

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

40100788464 is a wasteful number, since it uses less digits than its factorization.

40100788464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59438 (or 59432 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 40100788464 in words is "forty billion, one hundred million, seven hundred eighty-eight thousand, four hundred sixty-four".