1376122142304 has 384 divisors, whose sum is σ = 5230514580480. Its totient is φ = 341583962112.

The previous prime is 1376122142279. The next prime is 1376122142341. The reversal of 1376122142304 is 4032412216731.

1376122142304 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 1 + 221 + 423 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 821827 + ... + 1851389.

It is an arithmetic number, because the mean of its divisors is an integer number (13621131720).

Almost surely, 2^{1376122142304} is an apocalyptic number.

1376122142304 is a gapful number since it is divisible by the number (14) 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 1376122142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615257290240).

1376122142304 is an abundant number, since it is smaller than the sum of its proper divisors (3854392438176).

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

1376122142304 is a wasteful number, since it uses less digits than its factorization.

1376122142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029619 (or 1029605 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 1376122142304 in words is "one trillion, three hundred seventy-six billion, one hundred twenty-two million, one hundred forty-two thousand, three hundred four".