41916225120 has 384 divisors, whose sum is σ = 165626560512. Its totient is φ = 8656435200.

The previous prime is 41916225101. The next prime is 41916225121. The reversal of 41916225120 is 2152261914.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41916225121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6168925 + ... + 6175715.

It is an arithmetic number, because the mean of its divisors is an integer number (431319168).

Almost surely, 2^41916225120 is an apocalyptic number.

41916225120 is a gapful number since it is divisible by the number (40) 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 41916225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82813280256).

41916225120 is an abundant number, since it is smaller than the sum of its proper divisors (123710335392).

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

41916225120 is a wasteful number, since it uses less digits than its factorization.

41916225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 6986 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 41916225120 in words is "forty-one billion, nine hundred sixteen million, two hundred twenty-five thousand, one hundred twenty".