61414640720100 has 432 divisors, whose sum is σ = 196509641328000. Its totient is φ = 16038419097600.

The previous prime is 61414640720099. The next prime is 61414640720107. The reversal of 61414640720100 is 102704641416.

It is a happy number.

61414640720100 is a `hidden beast` number, since 6 + 1 + 4 + 1 + 4 + 640 + 7 + 2 + 0 + 1 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61414640720107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19138247296 + ... + 19138250504.

It is an arithmetic number, because the mean of its divisors is an integer number (454883429000).

Almost surely, 2^{61414640720100} is an apocalyptic number.

61414640720100 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 61414640720100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98254820664000).

61414640720100 is an abundant number, since it is smaller than the sum of its proper divisors (135095000607900).

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

61414640720100 is a wasteful number, since it uses less digits than its factorization.

61414640720100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 61414640720100 in words is "sixty-one trillion, four hundred fourteen billion, six hundred forty million, seven hundred twenty thousand, one hundred".