1361534360400 has 180 divisors, whose sum is σ = 4725438821532. Its totient is φ = 363034613760.

The previous prime is 1361534360359. The next prime is 1361534360419. The reversal of 1361534360400 is 40634351631.

1361534360400 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 5 + 3 + 43 + 604 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 460872623376 + 900661737024 = 678876^2 + 949032^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44541922 + ... + 44572478.

Almost surely, 2^{1361534360400} is an apocalyptic number.

1361534360400 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 1361534360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2362719410766).

1361534360400 is an abundant number, since it is smaller than the sum of its proper divisors (3363904461132).

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

1361534360400 is a wasteful number, since it uses less digits than its factorization.

1361534360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42958 (or 42944 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 1361534360400 in words is "one trillion, three hundred sixty-one billion, five hundred thirty-four million, three hundred sixty thousand, four hundred".