13042010400 has 144 divisors (see below), whose sum is σ = 44686202400. Its totient is φ = 3294812160.

The previous prime is 13042010369. The next prime is 13042010431. The reversal of 13042010400 is 401024031.

It is an interprime number because it is at equal distance from previous prime (13042010369) and next prime (13042010431).

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 13042010400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97405 + ... + 188604.

It is an arithmetic number, because the mean of its divisors is an integer number (310320850).

Almost surely, 2^13042010400 is an apocalyptic number.

13042010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13042010400 is an abundant number, since it is smaller than the sum of its proper divisors (31644192000).

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

13042010400 is a wasteful number, since it uses less digits than its factorization.

13042010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286051 (or 286038 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 13042010400 its reverse (401024031), we get a palindrome (13443034431).

The spelling of 13042010400 in words is "thirteen billion, forty-two million, ten thousand, four hundred".