4200013413400 has 96 divisors (see below), whose sum is σ = 11160450908640. Its totient is φ = 1439951016960.

The previous prime is 4200013413397. The next prime is 4200013413413. The reversal of 4200013413400 is 43143100024.

4200013413400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4200013413400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63074524 + ... + 63141076.

It is an arithmetic number, because the mean of its divisors is an integer number (116254696965).

Almost surely, 2^{4200013413400} is an apocalyptic number.

4200013413400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4200013413400 is an abundant number, since it is smaller than the sum of its proper divisors (6960437495240).

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

4200013413400 is a wasteful number, since it uses less digits than its factorization.

4200013413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111653 (or 111644 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 4200013413400 its reverse (43143100024), we get a palindrome (4243156513424).

The spelling of 4200013413400 in words is "four trillion, two hundred billion, thirteen million, four hundred thirteen thousand, four hundred".