61161010440 has 256 divisors, whose sum is σ = 195997190400. Its totient is φ = 15240658944.

The previous prime is 61161010433. The next prime is 61161010481. The reversal of 61161010440 is 4401016116.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 61161010440.

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, 16907512 + ... + 16911128.

It is an arithmetic number, because the mean of its divisors is an integer number (765614025).

Almost surely, 2^61161010440 is an apocalyptic number.

61161010440 is a gapful number since it is divisible by the number (60) 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 61161010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97998595200).

61161010440 is an abundant number, since it is smaller than the sum of its proper divisors (134836179960).

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

61161010440 is a wasteful number, since it uses less digits than its factorization.

61161010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 61161010440 its reverse (4401016116), we get a palindrome (65562026556).

The spelling of 61161010440 in words is "sixty-one billion, one hundred sixty-one million, ten thousand, four hundred forty".