10400120020410 has 64 divisors (see below), whose sum is σ = 25835473255680. Its totient is φ = 2676229839360.

The previous prime is 10400120020403. The next prime is 10400120020417. The reversal of 10400120020410 is 1402002100401.

It is an interprime number because it is at equal distance from previous prime (10400120020403) and next prime (10400120020417).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10400120020410.

It is not an unprimeable number, because it can be changed into a prime (10400120020417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1801051 + ... + 4903470.

It is an arithmetic number, because the mean of its divisors is an integer number (403679269620).

Almost surely, 2^{10400120020410} is an apocalyptic number.

10400120020410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10400120020410 is an abundant number, since it is smaller than the sum of its proper divisors (15435353235270).

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

10400120020410 is a wasteful number, since it uses less digits than its factorization.

10400120020410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6706343.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10400120020410 its reverse (1402002100401), we get a palindrome (11802122120811).

The spelling of 10400120020410 in words is "ten trillion, four hundred billion, one hundred twenty million, twenty thousand, four hundred ten".