4013021223120 has 640 divisors, whose sum is σ = 15888391077888. Its totient is φ = 815074099200.

The previous prime is 4013021223073. The next prime is 4013021223131. The reversal of 4013021223120 is 213221203104.

It is a super-2 number, since 2×4013021223120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129299124 + ... + 129330156.

Almost surely, 2^{4013021223120} is an apocalyptic number.

4013021223120 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 4013021223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7944195538944).

4013021223120 is an abundant number, since it is smaller than the sum of its proper divisors (11875369854768).

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

4013021223120 is a wasteful number, since it uses less digits than its factorization.

4013021223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31291 (or 31285 counting only the distinct ones).

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

Adding to 4013021223120 its reverse (213221203104), we get a palindrome (4226242426224).

The spelling of 4013021223120 in words is "four trillion, thirteen billion, twenty-one million, two hundred twenty-three thousand, one hundred twenty".