1359641813400 has 1152 divisors, whose sum is σ = 5430816780480. Its totient is φ = 313170001920.

The previous prime is 1359641813399. The next prime is 1359641813429. The reversal of 1359641813400 is 43181469531.

1359641813400 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 64 + 181 + 3 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2975145972 + ... + 2975146428.

Almost surely, 2^{1359641813400} is an apocalyptic number.

1359641813400 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 1359641813400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715408390240).

1359641813400 is an abundant number, since it is smaller than the sum of its proper divisors (4071174967080).

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

1359641813400 is a wasteful number, since it uses less digits than its factorization.

1359641813400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1359641813400 in words is "one trillion, three hundred fifty-nine billion, six hundred forty-one million, eight hundred thirteen thousand, four hundred".