10400100410 has 64 divisors (see below), whose sum is σ = 22312765440. Its totient is φ = 3415080960.

The previous prime is 10400100397. The next prime is 10400100457. The reversal of 10400100410 is 1400100401.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10400100391 and 10400100400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185786 + ... + 235194.

It is an arithmetic number, because the mean of its divisors is an integer number (348636960).

Almost surely, 2^10400100410 is an apocalyptic number.

10400100410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10400100410 is an abundant number, since it is smaller than the sum of its proper divisors (11912665030).

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

10400100410 is a wasteful number, since it uses less digits than its factorization.

10400100410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49551.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10400100410 its reverse (1400100401), we get a palindrome (11800200811).

Subtracting from 10400100410 its reverse (1400100401), we obtain a palindrome (9000000009).

The spelling of 10400100410 in words is "ten billion, four hundred million, one hundred thousand, four hundred ten".