40431544254400 has 168 divisors, whose sum is σ = 107957572241904. Its totient is φ = 14814610636800.

The previous prime is 40431544254383. The next prime is 40431544254443. The reversal of 40431544254400 is 445244513404.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 4694377 + ... + 10143976.

It is an arithmetic number, because the mean of its divisors is an integer number (642604596678).

Almost surely, 2^{40431544254400} is an apocalyptic number.

40431544254400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40431544254400 is an abundant number, since it is smaller than the sum of its proper divisors (67526027987504).

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

40431544254400 is a wasteful number, since it uses less digits than its factorization.

40431544254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14838519 (or 14838504 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 40431544254400 its reverse (445244513404), we get a palindrome (40876788767804).

The spelling of 40431544254400 in words is "forty trillion, four hundred thirty-one billion, five hundred forty-four million, two hundred fifty-four thousand, four hundred".