1314905553360 has 640 divisors, whose sum is σ = 5454079488000. Its totient is φ = 284443342848.

The previous prime is 1314905553337. The next prime is 1314905553371. The reversal of 1314905553360 is 633555094131.

1314905553360 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 9 + 0 + 55 + 533 + 60 = 666.

It is a super-2 number, since 2×1314905553360² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 410521519 + ... + 410524721.

It is an arithmetic number, because the mean of its divisors is an integer number (8521999200).

Almost surely, 2^{1314905553360} is an apocalyptic number.

1314905553360 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 1314905553360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727039744000).

1314905553360 is an abundant number, since it is smaller than the sum of its proper divisors (4139173934640).

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

1314905553360 is a wasteful number, since it uses less digits than its factorization.

1314905553360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680 (or 4668 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 1314905553360 in words is "one trillion, three hundred fourteen billion, nine hundred five million, five hundred fifty-three thousand, three hundred sixty".