561216040 has 128 divisors (see below), whose sum is σ = 1582675200. Its totient is φ = 173998080.

The previous prime is 561216017. The next prime is 561216107. The reversal of 561216040 is 40612165.

It is a junction number, because it is equal to n+sod(n) for n = 561215996 and 561216014.

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, 791206 + ... + 791914.

It is an arithmetic number, because the mean of its divisors is an integer number (12364650).

Almost surely, 2^561216040 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 561216040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791337600).

561216040 is an abundant number, since it is smaller than the sum of its proper divisors (1021459160).

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

561216040 is a wasteful number, since it uses less digits than its factorization.

561216040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 561216040 is about 23689.9987336429. The cubic root of 561216040 is about 824.8532533603.

The spelling of 561216040 in words is "five hundred sixty-one million, two hundred sixteen thousand, forty".