561578149440 has 2240 divisors, whose sum is σ = 2655487825920. Its totient is φ = 110574858240.

The previous prime is 561578149427. The next prime is 561578149513. The reversal of 561578149440 is 44941875165.

561578149440 is a `hidden beast` number, since 5 + 6 + 1 + 57 + 8 + 149 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5248393867 + ... + 5248393973.

Almost surely, 2^561578149440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561578149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327743912960).

561578149440 is an abundant number, since it is smaller than the sum of its proper divisors (2093909676480).

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

561578149440 is a wasteful number, since it uses less digits than its factorization.

561578149440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 561578149440 in words is "five hundred sixty-one billion, five hundred seventy-eight million, one hundred forty-nine thousand, four hundred forty".