1456156170040 has 128 divisors (see below), whose sum is σ = 3862281528000. Its totient is φ = 487110942720.

The previous prime is 1456156170023. The next prime is 1456156170041. The reversal of 1456156170040 is 400716516541.

It is a super-2 number, since 2×1456156170040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1456156169975 and 1456156170002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456156170041) 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, 1241536 + ... + 2110384.

Almost surely, 2^{1456156170040} is an apocalyptic number.

1456156170040 is a gapful number since it is divisible by the number (10) 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 1456156170040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931140764000).

1456156170040 is an abundant number, since it is smaller than the sum of its proper divisors (2406125357960).

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

1456156170040 is a wasteful number, since it uses less digits than its factorization.

1456156170040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869177 (or 869173 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 1456156170040 in words is "one trillion, four hundred fifty-six billion, one hundred fifty-six million, one hundred seventy thousand, forty".