4013102400 has 84 divisors (see below), whose sum is σ = 13166335872. Its totient is φ = 1070159360.

The previous prime is 4013102383. The next prime is 4013102411. The reversal of 4013102400 is 42013104.

It is a super-2 number, since 2×4013102400² = 32209981745771520000, which contains 22 as substring.

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 4013102400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413232 + ... + 422831.

Almost surely, 2^4013102400 is an apocalyptic number.

4013102400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013102400 is an abundant number, since it is smaller than the sum of its proper divisors (9153233472).

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

4013102400 is a wasteful number, since it uses less digits than its factorization.

4013102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836088 (or 836073 counting only the distinct ones).

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

The square root of 4013102400 is about 63349.0520844630. The cubic root of 4013102400 is about 1589.1323932434.

Adding to 4013102400 its reverse (42013104), we get a palindrome (4055115504).

The spelling of 4013102400 in words is "four billion, thirteen million, one hundred two thousand, four hundred".