40431431401040 has 40 divisors (see below), whose sum is σ = 94012090115688. Its totient is φ = 16171022090240.

The previous prime is 40431431401019. The next prime is 40431431401051. The reversal of 40431431401040 is 4010413413404.

It can be written as a sum of positive squares in 4 ways, for example, as 7703466862144 + 32727964538896 = 2775512^2 + 5720836^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 40431431400994 and 40431431401012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23386241 + ... + 25055520.

Almost surely, 2^{40431431401040} is an apocalyptic number.

40431431401040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40431431401040 is an abundant number, since it is smaller than the sum of its proper divisors (53580658714648).

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

40431431401040 is a wasteful number, since it uses less digits than its factorization.

40431431401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48452207 (or 48452201 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 40431431401040 its reverse (4010413413404), we get a palindrome (44441844814444).

The spelling of 40431431401040 in words is "forty trillion, four hundred thirty-one billion, four hundred thirty-one million, four hundred one thousand, forty".