4013431002120 has 128 divisors (see below), whose sum is σ = 12096329011200. Its totient is φ = 1065268925184.

The previous prime is 4013431002079. The next prime is 4013431002127. The reversal of 4013431002120 is 212001343104.

It is a super-2 number, since 2×4013431002120² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4013431002127) 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, 252044479 + ... + 252060401.

It is an arithmetic number, because the mean of its divisors is an integer number (94502570400).

Almost surely, 2^{4013431002120} is an apocalyptic number.

4013431002120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4013431002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048164505600).

4013431002120 is an abundant number, since it is smaller than the sum of its proper divisors (8082898009080).

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

4013431002120 is a wasteful number, since it uses less digits than its factorization.

4013431002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25579 (or 25575 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 4013431002120 its reverse (212001343104), we get a palindrome (4225432345224).

The spelling of 4013431002120 in words is "four trillion, thirteen billion, four hundred thirty-one million, two thousand, one hundred twenty".