1363742675400 has 384 divisors, whose sum is σ = 5044305715200. Its totient is φ = 298000665600.

The previous prime is 1363742675387. The next prime is 1363742675411. The reversal of 1363742675400 is 45762473631.

It is a self number, because there is not a number n which added to its sum of digits gives 1363742675400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 334330561 + ... + 334334639.

It is an arithmetic number, because the mean of its divisors is an integer number (13136212800).

Almost surely, 2^{1363742675400} is an apocalyptic number.

1363742675400 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 1363742675400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522152857600).

1363742675400 is an abundant number, since it is smaller than the sum of its proper divisors (3680563039800).

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

1363742675400 is a wasteful number, since it uses less digits than its factorization.

1363742675400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7589 (or 7580 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 1363742675400 in words is "one trillion, three hundred sixty-three billion, seven hundred forty-two million, six hundred seventy-five thousand, four hundred".