40388935476420 has 288 divisors, whose sum is σ = 128290220604000. Its totient is φ = 10271838044160.

The previous prime is 40388935476403. The next prime is 40388935476517. The reversal of 40388935476420 is 2467453988304.

40388935476420 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 8 + 9 + 3 + 547 + 64 + 20 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 26235027416196 + 14153908060224 = 5122014^2 + 3762168^2 .

It is a super-2 number, since 2×40388935476420² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 468718140 + ... + 468804300.

It is an arithmetic number, because the mean of its divisors is an integer number (445452154875).

Almost surely, 2^{40388935476420} 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 40388935476420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64145110302000).

40388935476420 is an abundant number, since it is smaller than the sum of its proper divisors (87901285127580).

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

40388935476420 is a wasteful number, since it uses less digits than its factorization.

40388935476420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87303 (or 87298 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 40388935476420 in words is "forty trillion, three hundred eighty-eight billion, nine hundred thirty-five million, four hundred seventy-six thousand, four hundred twenty".