10540413431400 has 48 divisors (see below), whose sum is σ = 32675281639200. Its totient is φ = 2810776914880.

The previous prime is 10540413431363. The next prime is 10540413431411. The reversal of 10540413431400 is 413431404501.

It is a super-2 number, since 2×10540413431400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8783677260 + ... + 8783678459.

It is an arithmetic number, because the mean of its divisors is an integer number (680735034150).

Almost surely, 2^{10540413431400} is an apocalyptic number.

10540413431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10540413431400 is an abundant number, since it is smaller than the sum of its proper divisors (22134868207800).

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

10540413431400 is a wasteful number, since it uses less digits than its factorization.

10540413431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17567355738 (or 17567355729 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 10540413431400 its reverse (413431404501), we get a palindrome (10953844835901).

The spelling of 10540413431400 in words is "ten trillion, five hundred forty billion, four hundred thirteen million, four hundred thirty-one thousand, four hundred".