1375313955840 has 660 divisors, whose sum is σ = 5417307026208. Its totient is φ = 333397278720.

The previous prime is 1375313955823. The next prime is 1375313955877. The reversal of 1375313955840 is 485593135731.

1375313955840 is a `hidden beast` number, since 1 + 3 + 7 + 53 + 1 + 3 + 9 + 5 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (660).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 50167417 + ... + 50194823.

Almost surely, 2^{1375313955840} is an apocalyptic number.

1375313955840 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 1375313955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708653513104).

1375313955840 is an abundant number, since it is smaller than the sum of its proper divisors (4041993070368).

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

1375313955840 is a wasteful number, since it uses less digits than its factorization.

1375313955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27466 (or 27428 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 1375313955840 in words is "one trillion, three hundred seventy-five billion, three hundred thirteen million, nine hundred fifty-five thousand, eight hundred forty".