1377873544320 has 1536 divisors, whose sum is σ = 6265911375360. Its totient is φ = 270729216000.

The previous prime is 1377873544309. The next prime is 1377873544339. The reversal of 1377873544320 is 234453787731.

1377873544320 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 8 + 73 + 544 + 3 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 899981955 + ... + 899983485.

It is an arithmetic number, because the mean of its divisors is an integer number (4079369385).

Almost surely, 2^{1377873544320} is an apocalyptic number.

1377873544320 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 1377873544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132955687680).

1377873544320 is an abundant number, since it is smaller than the sum of its proper divisors (4888037831040).

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

1377873544320 is a wasteful number, since it uses less digits than its factorization.

1377873544320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 1377873544320 in words is "one trillion, three hundred seventy-seven billion, eight hundred seventy-three million, five hundred forty-four thousand, three hundred twenty".