61040406960 has 360 divisors, whose sum is σ = 222900157584. Its totient is φ = 14962821120.

The previous prime is 61040406929. The next prime is 61040407039. The reversal of 61040406960 is 6960404016.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33704455 + ... + 33706265.

Almost surely, 2^61040406960 is an apocalyptic number.

61040406960 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 61040406960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111450078792).

61040406960 is an abundant number, since it is smaller than the sum of its proper divisors (161859750624).

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

61040406960 is a wasteful number, since it uses less digits than its factorization.

61040406960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 61040406960 in words is "sixty-one billion, forty million, four hundred six thousand, nine hundred sixty".