2040400431200 has 72 divisors (see below), whose sum is σ = 5115752695872. Its totient is φ = 794101777920.

The previous prime is 2040400431151. The next prime is 2040400431233. The reversal of 2040400431200 is 21340040402.

It is a super-2 number, since 2×2040400431200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34436624 + ... + 34495823.

It is an arithmetic number, because the mean of its divisors is an integer number (71052120776).

Almost surely, 2^{2040400431200} is an apocalyptic number.

2040400431200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040400431200 is an abundant number, since it is smaller than the sum of its proper divisors (3075352264672).

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

2040400431200 is a wasteful number, since it uses less digits than its factorization.

2040400431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68932504 (or 68932491 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2040400431200 its reverse (21340040402), we get a palindrome (2061740471602).

The spelling of 2040400431200 in words is "two trillion, forty billion, four hundred million, four hundred thirty-one thousand, two hundred".