1378232017920 has 132 divisors (see below), whose sum is σ = 4775538210300. Its totient is φ = 367528525824.

The previous prime is 1378232017919. The next prime is 1378232017937. The reversal of 1378232017920 is 297102328731.

1378232017920 is a `hidden beast` number, since 1 + 378 + 2 + 3 + 201 + 79 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 377015648256 + 1001216369664 = 614016^2 + 1000608^2 .

It is a super-2 number, since 2×1378232017920² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14908695 + ... + 15000854.

It is an arithmetic number, because the mean of its divisors is an integer number (36178319775).

Almost surely, 2^{1378232017920} is an apocalyptic number.

1378232017920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1378232017920 is an abundant number, since it is smaller than the sum of its proper divisors (3397306192380).

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

1378232017920 is a wasteful number, since it uses less digits than its factorization.

1378232017920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29909580 (or 29909559 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 1378232017920 in words is "one trillion, three hundred seventy-eight billion, two hundred thirty-two million, seventeen thousand, nine hundred twenty".