1374934538304 has 168 divisors, whose sum is σ = 4013349926040. Its totient is φ = 449926963200.

The previous prime is 1374934538249. The next prime is 1374934538311. The reversal of 1374934538304 is 4038354394731.

1374934538304 is a `hidden beast` number, since 1 + 3 + 7 + 49 + 34 + 538 + 30 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54733538304 + 1320201000000 = 233952^2 + 1149000^2 .

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 23 ways as a sum of consecutive naturals, for example, 18268302 + ... + 18343410.

It is an arithmetic number, because the mean of its divisors is an integer number (23888987655).

Almost surely, 2^{1374934538304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1374934538304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006674963020).

1374934538304 is an abundant number, since it is smaller than the sum of its proper divisors (2638415387736).

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

1374934538304 is a wasteful number, since it uses less digits than its factorization.

1374934538304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75709 (or 75696 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 1374934538304 in words is "one trillion, three hundred seventy-four billion, nine hundred thirty-four million, five hundred thirty-eight thousand, three hundred four".