20361363044400 has 600 divisors, whose sum is σ = 85456867862784. Its totient is φ = 4545790502400.

The previous prime is 20361363044303. The next prime is 20361363044471. The reversal of 20361363044400 is 444036316302.

20361363044400 is a `hidden beast` number, since 2 + 0 + 3 + 6 + 13 + 630 + 4 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8708485 + ... + 10796315.

Almost surely, 2^{20361363044400} is an apocalyptic number.

20361363044400 is a gapful number since it is divisible by the number (20) 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 20361363044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42728433931392).

20361363044400 is an abundant number, since it is smaller than the sum of its proper divisors (65095504818384).

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

20361363044400 is a wasteful number, since it uses less digits than its factorization.

20361363044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087911 (or 2087891 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 20361363044400 in words is "twenty trillion, three hundred sixty-one billion, three hundred sixty-three million, forty-four thousand, four hundred".