1561404384000 has 576 divisors, whose sum is σ = 5798325012480. Its totient is φ = 413782732800.

The previous prime is 1561404383999. The next prime is 1561404384097. The reversal of 1561404384000 is 4834041651.

1561404384000 is a `hidden beast` number, since 1 + 5 + 614 + 0 + 4 + 38 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140826457 + ... + 140837543.

It is an arithmetic number, because the mean of its divisors is an integer number (10066536480).

Almost surely, 2^{1561404384000} is an apocalyptic number.

1561404384000 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 1561404384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899162506240).

1561404384000 is an abundant number, since it is smaller than the sum of its proper divisors (4236920628480).

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

1561404384000 is a wasteful number, since it uses less digits than its factorization.

1561404384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11290 (or 11260 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1561404384000 in words is "one trillion, five hundred sixty-one billion, four hundred four million, three hundred eighty-four thousand".