1380575750400 has 3456 divisors, whose sum is σ = 6851828121600. Its totient is φ = 263363788800.

The previous prime is 1380575750399. The next prime is 1380575750417. The reversal of 1380575750400 is 40575750831.

It is a happy number.

1380575750400 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 575 + 75 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10870675137 + ... + 10870675263.

Almost surely, 2^{1380575750400} is an apocalyptic number.

1380575750400 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 1380575750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3425914060800).

1380575750400 is an abundant number, since it is smaller than the sum of its proper divisors (5471252371200).

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

1380575750400 is a wasteful number, since it uses less digits than its factorization.

1380575750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The spelling of 1380575750400 in words is "one trillion, three hundred eighty billion, five hundred seventy-five million, seven hundred fifty thousand, four hundred".