61305835440 has 80 divisors (see below), whose sum is σ = 191323692000. Its totient is φ = 16238493696.

The previous prime is 61305835403. The next prime is 61305835447. The reversal of 61305835440 is 4453850316.

61305835440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (61305835447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821425 + ... + 892944.

It is an arithmetic number, because the mean of its divisors is an integer number (2391546150).

Almost surely, 2^61305835440 is an apocalyptic number.

61305835440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61305835440 is an abundant number, since it is smaller than the sum of its proper divisors (130017856560).

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

61305835440 is a wasteful number, since it uses less digits than its factorization.

61305835440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714534 (or 1714528 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 61305835440 in words is "sixty-one billion, three hundred five million, eight hundred thirty-five thousand, four hundred forty".