61417420646400 has 2304 divisors, whose sum is σ = 289743655219200. Its totient is φ = 12394408181760.

The previous prime is 61417420646399. The next prime is 61417420646479. The reversal of 61417420646400 is 464602471416.

61417420646400 is a `hidden beast` number, since 6 + 14 + 174 + 2 + 0 + 6 + 464 + 0 + 0 = 666.

61417420646400 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 (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2893352587 + ... + 2893373813.

It is an arithmetic number, because the mean of its divisors is an integer number (125756794800).

Almost surely, 2^{61417420646400} is an apocalyptic number.

61417420646400 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 61417420646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144871827609600).

61417420646400 is an abundant number, since it is smaller than the sum of its proper divisors (228326234572800).

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

61417420646400 is a wasteful number, since it uses less digits than its factorization.

61417420646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21311 (or 21280 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 61417420646400 in words is "sixty-one trillion, four hundred seventeen billion, four hundred twenty million, six hundred forty-six thousand, four hundred".