40135531104400 has 30 divisors (see below), whose sum is σ = 96425613479282. Its totient is φ = 16054212441600.

The previous prime is 40135531104373. The next prime is 40135531104401. The reversal of 40135531104400 is 440113553104.

It can be written as a sum of positive squares in 3 ways, for example, as 12710451389584 + 27425079714816 = 3565172^2 + 5236896^2 .

It is a super-2 number, since 2×40135531104400² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40135531104401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50169413481 + ... + 50169414280.

Almost surely, 2^{40135531104400} is an apocalyptic number.

40135531104400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40135531104400 is an abundant number, since it is smaller than the sum of its proper divisors (56290082374882).

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

40135531104400 is a wasteful number, since it uses less digits than its factorization.

40135531104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100338827779 (or 100338827768 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 40135531104400 its reverse (440113553104), we get a palindrome (40575644657504).

The spelling of 40135531104400 in words is "forty trillion, one hundred thirty-five billion, five hundred thirty-one million, one hundred four thousand, four hundred".