1377377361920 has 896 divisors, whose sum is σ = 4189853952000. Its totient is φ = 432827006976.

The previous prime is 1377377361827. The next prime is 1377377361967. The reversal of 1377377361920 is 291637737731.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 17435156441 + ... + 17435156519.

Almost surely, 2^{1377377361920} is an apocalyptic number.

1377377361920 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 1377377361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094926976000).

1377377361920 is an abundant number, since it is smaller than the sum of its proper divisors (2812476590080).

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

1377377361920 is an frugal number, since it uses more digits than its factorization.

1377377361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 7001316, while the sum is 56.

The spelling of 1377377361920 in words is "one trillion, three hundred seventy-seven billion, three hundred seventy-seven million, three hundred sixty-one thousand, nine hundred twenty".