61014441600 has 1152 divisors, whose sum is σ = 277613481600. Its totient is φ = 12421693440.

The previous prime is 61014441589. The next prime is 61014441613. The reversal of 61014441600 is 614441016.

61014441600 is a `hidden beast` number, since 6 + 1 + 0 + 14 + 4 + 41 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 65116332 + ... + 65117268.

It is an arithmetic number, because the mean of its divisors is an integer number (240983925).

Almost surely, 2^61014441600 is an apocalyptic number.

61014441600 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 61014441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138806740800).

61014441600 is an abundant number, since it is smaller than the sum of its proper divisors (216599040000).

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

61014441600 is a wasteful number, since it uses less digits than its factorization.

61014441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 61014441600 its reverse (614441016), we get a palindrome (61628882616).

The spelling of 61014441600 in words is "sixty-one billion, fourteen million, four hundred forty-one thousand, six hundred".