1312602157440 has 1024 divisors, whose sum is σ = 5516107776000. Its totient is φ = 288625655808.

The previous prime is 1312602157429. The next prime is 1312602157453. The reversal of 1312602157440 is 447512062131.

1312602157440 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 60 + 2 + 157 + 440 = 666.

It is a super-2 number, since 2×1312602157440² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1312602157395 and 1312602157404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1343502232 + ... + 1343503208.

It is an arithmetic number, because the mean of its divisors is an integer number (5386824000).

Almost surely, 2^{1312602157440} is an apocalyptic number.

1312602157440 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 1312602157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758053888000).

1312602157440 is an abundant number, since it is smaller than the sum of its proper divisors (4203505618560).

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

1312602157440 is a wasteful number, since it uses less digits than its factorization.

1312602157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 1312602157440 in words is "one trillion, three hundred twelve billion, six hundred two million, one hundred fifty-seven thousand, four hundred forty".