1616041121760 has 960 divisors, whose sum is σ = 6348507580800. Its totient is φ = 384641187840.

The previous prime is 1616041121753. The next prime is 1616041121771. The reversal of 1616041121760 is 671211406161.

1616041121760 is a `hidden beast` number, since 1 + 6 + 160 + 411 + 21 + 7 + 60 = 666.

It is a super-2 number, since 2×1616041121760² (a number of 25 digits) contains 22 as substring.

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, 633988966 + ... + 633991514.

It is an arithmetic number, because the mean of its divisors is an integer number (6613028730).

Almost surely, 2^{1616041121760} is an apocalyptic number.

1616041121760 is a gapful number since it is divisible by the number (10) 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 1616041121760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3174253790400).

1616041121760 is an abundant number, since it is smaller than the sum of its proper divisors (4732466459040).

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

1616041121760 is a wasteful number, since it uses less digits than its factorization.

1616041121760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2713 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1616041121760 in words is "one trillion, six hundred sixteen billion, forty-one million, one hundred twenty-one thousand, seven hundred sixty".