561942414000 has 320 divisors, whose sum is σ = 2196005160960. Its totient is φ = 136228320000.

The previous prime is 561942413999. The next prime is 561942414029. The reversal of 561942414000 is 414249165.

561942414000 is a `hidden beast` number, since 5 + 6 + 1 + 9 + 4 + 241 + 400 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120985 + ... + 1067015.

It is an arithmetic number, because the mean of its divisors is an integer number (6862516128).

Almost surely, 2^561942414000 is an apocalyptic number.

561942414000 is a gapful number since it is divisible by the number (50) 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 561942414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098002580480).

561942414000 is an abundant number, since it is smaller than the sum of its proper divisors (1634062746960).

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

561942414000 is a wasteful number, since it uses less digits than its factorization.

561942414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946074 (or 946052 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 561942414000 in words is "five hundred sixty-one billion, nine hundred forty-two million, four hundred fourteen thousand".