41961249792 has 528 divisors, whose sum is σ = 156344947200. Its totient is φ = 10518036480.

The previous prime is 41961249739. The next prime is 41961249809. The reversal of 41961249792 is 29794216914.

41961249792 is a `hidden beast` number, since 4 + 1 + 9 + 61 + 2 + 497 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20578309 + ... + 20580347.

Almost surely, 2^41961249792 is an apocalyptic number.

41961249792 is a gapful number since it is divisible by the number (42) 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 41961249792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78172473600).

41961249792 is an abundant number, since it is smaller than the sum of its proper divisors (114383697408).

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

41961249792 is a wasteful number, since it uses less digits than its factorization.

41961249792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2091 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

It can be divided in two parts, 4 and 1961249792, that added together give a square (1961249796 = 44286²).

The spelling of 41961249792 in words is "forty-one billion, nine hundred sixty-one million, two hundred forty-nine thousand, seven hundred ninety-two".