280116607711941 has 1152 divisors, whose sum is σ = 593970875596800. Its totient is φ = 125863657920000.

The previous prime is 280116607711907. The next prime is 280116607711957. The reversal of 280116607711941 is 149117706611082.

280116607711941 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 16 + 607 + 7 + 1 + 19 + 4 + 1 = 666.

It is not a de Polignac number, because 280116607711941 - 2⁷ = 280116607711813 is a prime.

It is a super-3 number, since 3×280116607711941³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (280116607711741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 846273739146 + ... + 846273739476.

It is an arithmetic number, because the mean of its divisors is an integer number (515599718400).

Almost surely, 2^{280116607711941} is an apocalyptic number.

280116607711941 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

280116607711941 is an abundant number, since it is smaller than the sum of its proper divisors (313854267884859).

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

280116607711941 is a wasteful number, since it uses less digits than its factorization.

280116607711941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 280116607711941 in words is "two hundred eighty trillion, one hundred sixteen billion, six hundred seven million, seven hundred eleven thousand, nine hundred forty-one".