561551098429440 has 3600 divisors, whose sum is σ = 2437451589780480. Its totient is φ = 123886326251520.

The previous prime is 561551098429423. The next prime is 561551098429481. The reversal of 561551098429440 is 44924890155165.

It is a happy number.

561551098429440 is a `hidden beast` number, since 5 + 6 + 1 + 5 + 5 + 109 + 84 + 2 + 9 + 440 = 666.

It is a super-2 number, since 2×561551098429440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1481665167171 + ... + 1481665167549.

Almost surely, 2^{561551098429440} 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 561551098429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218725794890240).

561551098429440 is an abundant number, since it is smaller than the sum of its proper divisors (1875900491351040).

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

561551098429440 is an frugal number, since it uses more digits than its factorization.

561551098429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 561551098429440 in words is "five hundred sixty-one trillion, five hundred fifty-one billion, ninety-eight million, four hundred twenty-nine thousand, four hundred forty".