40331435421024 has 144 divisors (see below), whose sum is σ = 125121377266704. Its totient is φ = 12221425843200.

The previous prime is 40331435420959. The next prime is 40331435421061. The reversal of 40331435421024 is 42012453413304.

40331435421024 is a `hidden beast` number, since 4 + 0 + 3 + 3 + 1 + 4 + 3 + 542 + 102 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×40331435421024² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40331435421024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290794254 + ... + 290932914.

It is an arithmetic number, because the mean of its divisors is an integer number (868898453241).

Almost surely, 2^{40331435421024} is an apocalyptic number.

40331435421024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40331435421024 is an abundant number, since it is smaller than the sum of its proper divisors (84789941845680).

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

40331435421024 is a wasteful number, since it uses less digits than its factorization.

40331435421024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230501 (or 230490 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 40331435421024 its reverse (42012453413304), we get a palindrome (82343888834328).

The spelling of 40331435421024 in words is "forty trillion, three hundred thirty-one billion, four hundred thirty-five million, four hundred twenty-one thousand, twenty-four".