1374381075600 has 945 divisors, whose sum is σ = 5393067692763. Its totient is φ = 336283384320.

The previous prime is 1374381075589. The next prime is 1374381075601. The reversal of 1374381075600 is 65701834731.

The square root of 1374381075600 is 1172340.

It is a perfect power (a square), and thus also a powerful number.

1374381075600 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 3 + 81 + 0 + 7 + 560 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 354248755344 + 1020132320256 = 595188^2 + 1010016^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1374381075601) by changing a digit.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 8229826717 + ... + 8229826883.

Almost surely, 2^{1374381075600} is an apocalyptic number.

1374381075600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1374381075600 is the 1172340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1374381075600

1374381075600 is an abundant number, since it is smaller than the sum of its proper divisors (4018686617163).

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

1374381075600 is an equidigital number, since it uses as much as digits as its factorization.

1374381075600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1374381075600 in words is "one trillion, three hundred seventy-four billion, three hundred eighty-one million, seventy-five thousand, six hundred".