1377990882720 has 240 divisors, whose sum is σ = 4864126528800. Its totient is φ = 367391172096.

The previous prime is 1377990882713. The next prime is 1377990882721. The reversal of 1377990882720 is 272880997731.

1377990882720 is a `hidden beast` number, since 137 + 79 + 90 + 88 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (1377990882721) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 106822831 + ... + 106835729.

It is an arithmetic number, because the mean of its divisors is an integer number (20267193870).

Almost surely, 2^{1377990882720} is an apocalyptic number.

1377990882720 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 1377990882720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432063264400).

1377990882720 is an abundant number, since it is smaller than the sum of its proper divisors (3486135646080).

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

1377990882720 is a wasteful number, since it uses less digits than its factorization.

1377990882720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21169 (or 21152 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 1377990882720 in words is "one trillion, three hundred seventy-seven billion, nine hundred ninety million, eight hundred eighty-two thousand, seven hundred twenty".