41233551108960 has 384 divisors, whose sum is σ = 151571347200000. Its totient is φ = 9418517391360.

The previous prime is 41233551108943. The next prime is 41233551108979. The reversal of 41233551108960 is 6980115533214.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248688166 + ... + 248853914.

It is an arithmetic number, because the mean of its divisors is an integer number (394717050000).

Almost surely, 2^{41233551108960} is an apocalyptic number.

41233551108960 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 41233551108960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75785673600000).

41233551108960 is an abundant number, since it is smaller than the sum of its proper divisors (110337796091040).

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

41233551108960 is a wasteful number, since it uses less digits than its factorization.

41233551108960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167299 (or 167277 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 41233551108960 in words is "forty-one trillion, two hundred thirty-three billion, five hundred fifty-one million, one hundred eight thousand, nine hundred sixty".