4013131420320 has 384 divisors, whose sum is σ = 14651707472640. Its totient is φ = 913944084480.

The previous prime is 4013131420201. The next prime is 4013131420327. The reversal of 4013131420320 is 230241313104.

It is a happy number.

It is a super-2 number, since 2×4013131420320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4013131420327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5311264 + ... + 6019616.

It is an arithmetic number, because the mean of its divisors is an integer number (38155488210).

Almost surely, 2^{4013131420320} is an apocalyptic number.

4013131420320 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 4013131420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325853736320).

4013131420320 is an abundant number, since it is smaller than the sum of its proper divisors (10638576052320).

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

4013131420320 is a wasteful number, since it uses less digits than its factorization.

4013131420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708448 (or 708440 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4013131420320 its reverse (230241313104), we get a palindrome (4243372733424).

The spelling of 4013131420320 in words is "four trillion, thirteen billion, one hundred thirty-one million, four hundred twenty thousand, three hundred twenty".