561948015040 has 224 divisors, whose sum is σ = 1404530104320. Its totient is φ = 213877407744.

The previous prime is 561948015029. The next prime is 561948015059. The reversal of 561948015040 is 40510849165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185032402 + ... + 185035438.

It is an arithmetic number, because the mean of its divisors is an integer number (6270223680).

Almost surely, 2^561948015040 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 561948015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702265052160).

561948015040 is an abundant number, since it is smaller than the sum of its proper divisors (842582089280).

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

561948015040 is a wasteful number, since it uses less digits than its factorization.

561948015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3357 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 561948015040 in words is "five hundred sixty-one billion, nine hundred forty-eight million, fifteen thousand, forty".