61441405740000 has 960 divisors, whose sum is σ = 263082977498880. Its totient is φ = 13749108480000.

The previous prime is 61441405739977. The next prime is 61441405740097. The reversal of 61441405740000 is 4750414416.

It is a happy number.

61441405740000 is a `hidden beast` number, since 6 + 1 + 4 + 41 + 40 + 574 + 0 + 0 + 0 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 76822167 + ... + 77617833.

It is an arithmetic number, because the mean of its divisors is an integer number (274044768228).

Almost surely, 2^{61441405740000} is an apocalyptic number.

61441405740000 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 61441405740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131541488749440).

61441405740000 is an abundant number, since it is smaller than the sum of its proper divisors (201641571758880).

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

61441405740000 is a wasteful number, since it uses less digits than its factorization.

61441405740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795730 (or 795701 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 61441405740000 in words is "sixty-one trillion, four hundred forty-one billion, four hundred five million, seven hundred forty thousand".