1371688982400 has 1536 divisors, whose sum is σ = 5437818385920. Its totient is φ = 300102451200.

The previous prime is 1371688982371. The next prime is 1371688982467. The reversal of 1371688982400 is 42898861731.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7107196704 + ... + 7107196896.

It is an arithmetic number, because the mean of its divisors is an integer number (3540246345).

Almost surely, 2^{1371688982400} is an apocalyptic number.

1371688982400 is a gapful number since it is divisible by the number (10) 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 1371688982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718909192960).

1371688982400 is an abundant number, since it is smaller than the sum of its proper divisors (4066129403520).

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

1371688982400 is a wasteful number, since it uses less digits than its factorization.

1371688982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 57.

The spelling of 1371688982400 in words is "one trillion, three hundred seventy-one billion, six hundred eighty-eight million, nine hundred eighty-two thousand, four hundred".