1377961574400 has 1224 divisors, whose sum is σ = 5476544835840. Its totient is φ = 329420636160.

The previous prime is 1377961574371. The next prime is 1377961574401. The reversal of 1377961574400 is 44751697731.

1377961574400 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 9 + 61 + 574 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1224).

It is not an unprimeable number, because it can be changed into a prime (1377961574401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5765529481 + ... + 5765529719.

Almost surely, 2^{1377961574400} is an apocalyptic number.

1377961574400 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 1377961574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738272417920).

1377961574400 is an abundant number, since it is smaller than the sum of its proper divisors (4098583261440).

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

1377961574400 is a wasteful number, since it uses less digits than its factorization.

1377961574400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 1377961574400 in words is "one trillion, three hundred seventy-seven billion, nine hundred sixty-one million, five hundred seventy-four thousand, four hundred".