1380763238400 has 2040 divisors, whose sum is σ = 6373374560560. Its totient is φ = 291325870080.

The previous prime is 1380763238383. The next prime is 1380763238401. The reversal of 1380763238400 is 48323670831.

1380763238400 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 7 + 6 + 3 + 238 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380763238401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 106212556794 + ... + 106212556806.

Almost surely, 2^{1380763238400} is an apocalyptic number.

1380763238400 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 1380763238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186687280280).

1380763238400 is an abundant number, since it is smaller than the sum of its proper divisors (4992611322160).

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

1380763238400 is an frugal number, since it uses more digits than its factorization.

1380763238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1380763238400 in words is "one trillion, three hundred eighty billion, seven hundred sixty-three million, two hundred thirty-eight thousand, four hundred".