1376382025728 has 340 divisors, whose sum is σ = 4132501907688. Its totient is φ = 456523776000.

The previous prime is 1376382025663. The next prime is 1376382025747. The reversal of 1376382025728 is 8275202836731.

1376382025728 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 382 + 0 + 257 + 2 + 8 = 666.

It is a super-2 number, since 2×1376382025728² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 19 ways as a sum of consecutive naturals, for example, 1332411900 + ... + 1332412932.

Almost surely, 2^{1376382025728} is an apocalyptic number.

1376382025728 is a gapful number since it is divisible by the number (18) 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 1376382025728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066250953844).

1376382025728 is an abundant number, since it is smaller than the sum of its proper divisors (2756119881960).

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

1376382025728 is an frugal number, since it uses more digits than its factorization.

1376382025728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 1376382025728 in words is "one trillion, three hundred seventy-six billion, three hundred eighty-two million, twenty-five thousand, seven hundred twenty-eight".