61405641216 has 640 divisors, whose sum is σ = 199715788800. Its totient is φ = 18811699200.

The previous prime is 61405641203. The next prime is 61405641223. The reversal of 61405641216 is 61214650416.

61405641216 is a `hidden beast` number, since 6 + 1 + 4 + 0 + 5 + 641 + 2 + 1 + 6 = 666.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1006649826 + ... + 1006649886.

It is an arithmetic number, because the mean of its divisors is an integer number (312055920).

Almost surely, 2^61405641216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61405641216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99857894400).

61405641216 is an abundant number, since it is smaller than the sum of its proper divisors (138310147584).

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

61405641216 is an frugal number, since it uses more digits than its factorization.

61405641216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 61405641216 in words is "sixty-one billion, four hundred five million, six hundred forty-one thousand, two hundred sixteen".