377138548938240 has 1280 divisors, whose sum is σ = 1385635245096960. Its totient is φ = 97184569098240.

The previous prime is 377138548938233. The next prime is 377138548938299. The reversal of 377138548938240 is 42839845831773.

377138548938240 is a `hidden beast` number, since 3 + 7 + 7 + 1 + 3 + 8 + 548 + 9 + 38 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72069278664 + ... + 72069283896.

It is an arithmetic number, because the mean of its divisors is an integer number (1082527535232).

Almost surely, 2^{377138548938240} is an apocalyptic number.

377138548938240 is a gapful number since it is divisible by the number (30) 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 377138548938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692817622548480).

377138548938240 is an abundant number, since it is smaller than the sum of its proper divisors (1008496696158720).

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

377138548938240 is a wasteful number, since it uses less digits than its factorization.

377138548938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612 (or 5590 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 377138548938240 in words is "three hundred seventy-seven trillion, one hundred thirty-eight billion, five hundred forty-eight million, nine hundred thirty-eight thousand, two hundred forty".