61441286400 has 756 divisors, whose sum is σ = 245792567748. Its totient is φ = 15109079040.

The previous prime is 61441286393. The next prime is 61441286447. The reversal of 61441286400 is 468214416.

It is a happy number.

61441286400 is a `hidden beast` number, since 6 + 1 + 4 + 4 + 1 + 2 + 8 + 640 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 25964810496 + 35476475904 = 161136^2 + 188352^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 60652294 + ... + 60653306.

Almost surely, 2^61441286400 is an apocalyptic number.

61441286400 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 61441286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122896283874).

61441286400 is an abundant number, since it is smaller than the sum of its proper divisors (184351281348).

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

61441286400 is a wasteful number, since it uses less digits than its factorization.

61441286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 61441286400 in words is "sixty-one billion, four hundred forty-one million, two hundred eighty-six thousand, four hundred".