61121723826240 has 4032 divisors, whose sum is σ = 292994691225600. Its totient is φ = 11852579819520.

The previous prime is 61121723826223. The next prime is 61121723826271. The reversal of 61121723826240 is 4262832712116.

61121723826240 is a `hidden beast` number, since 6 + 1 + 1 + 2 + 17 + 2 + 3 + 8 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 912264534687 + ... + 912264534753.

Almost surely, 2^{61121723826240} is an apocalyptic number.

61121723826240 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 61121723826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146497345612800).

61121723826240 is an abundant number, since it is smaller than the sum of its proper divisors (231872967399360).

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

61121723826240 is an equidigital number, since it uses as much as digits as its factorization.

61121723826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 61121723826240 in words is "sixty-one trillion, one hundred twenty-one billion, seven hundred twenty-three million, eight hundred twenty-six thousand, two hundred forty".