1375734398976 has 1224 divisors, whose sum is σ = 5025564127584. Its totient is φ = 374561832960.

The previous prime is 1375734398957. The next prime is 1375734399007. The reversal of 1375734398976 is 6798934375731.

It is a happy number.

1375734398976 is a `hidden beast` number, since 1 + 3 + 7 + 573 + 43 + 9 + 8 + 9 + 7 + 6 = 666.

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

Its product of digits (720135360) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31993823211 + ... + 31993823253.

Almost surely, 2^{1375734398976} is an apocalyptic number.

1375734398976 is a gapful number since it is divisible by the number (16) 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 1375734398976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512782063792).

1375734398976 is an abundant number, since it is smaller than the sum of its proper divisors (3649829728608).

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

1375734398976 is an frugal number, since it uses more digits than its factorization.

1375734398976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 96 counting only the distinct ones).

The product of its digits is 720135360, while the sum is 72.

The spelling of 1375734398976 in words is "one trillion, three hundred seventy-five billion, seven hundred thirty-four million, three hundred ninety-eight thousand, nine hundred seventy-six".