4013891280 has 320 divisors, whose sum is σ = 16027545600. Its totient is φ = 904296960.

The previous prime is 4013891279. The next prime is 4013891281. The reversal of 4013891280 is 821983104.

It is an interprime number because it is at equal distance from previous prime (4013891279) and next prime (4013891281).

It is a super-2 number, since 2×4013891280² = 32222646415320076800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013891281) 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, 1071651 + ... + 1075389.

It is an arithmetic number, because the mean of its divisors is an integer number (50086080).

Almost surely, 2^4013891280 is an apocalyptic number.

4013891280 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 4013891280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013772800).

4013891280 is an abundant number, since it is smaller than the sum of its proper divisors (12013654320).

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

4013891280 is a wasteful number, since it uses less digits than its factorization.

4013891280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3839 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4013891280 is about 63355.2782331512. The cubic root of 4013891280 is about 1589.2365149014.

The spelling of 4013891280 in words is "four billion, thirteen million, eight hundred ninety-one thousand, two hundred eighty".