3160226971440 has 960 divisors, whose sum is σ = 13386260938752. Its totient is φ = 649057536000.

The previous prime is 3160226971439. The next prime is 3160226971477. The reversal of 3160226971440 is 441796220613.

3160226971440 is a `hidden beast` number, since 3 + 1 + 60 + 22 + 69 + 71 + 440 = 666.

It is a super-2 number, since 2×3160226971440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1900316049 + ... + 1900317711.

Almost surely, 2^{3160226971440} is an apocalyptic number.

3160226971440 is a gapful number since it is divisible by the number (30) 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 3160226971440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693130469376).

3160226971440 is an abundant number, since it is smaller than the sum of its proper divisors (10226033967312).

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

3160226971440 is a wasteful number, since it uses less digits than its factorization.

3160226971440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3160226971440 in words is "three trillion, one hundred sixty billion, two hundred twenty-six million, nine hundred seventy-one thousand, four hundred forty".