61004845440 has 2560 divisors, whose sum is σ = 307108454400. Its totient is φ = 11147673600.

The previous prime is 61004845417. The next prime is 61004845453. The reversal of 61004845440 is 4454840016.

It is a happy number.

61004845440 is a `hidden beast` number, since 6 + 100 + 4 + 8 + 4 + 544 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61004845395 and 61004845404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1967898225 + ... + 1967898255.

It is an arithmetic number, because the mean of its divisors is an integer number (119964240).

Almost surely, 2^61004845440 is an apocalyptic number.

61004845440 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 61004845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153554227200).

61004845440 is an abundant number, since it is smaller than the sum of its proper divisors (246103608960).

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

61004845440 is a wasteful number, since it uses less digits than its factorization.

61004845440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 61004845440 in words is "sixty-one billion, four million, eight hundred forty-five thousand, four hundred forty".