41292898311168 has 1584 divisors, whose sum is σ = 151770845850624. Its totient is φ = 10737439211520.

The previous prime is 41292898311163. The next prime is 41292898311169. The reversal of 41292898311168 is 86111389829214.

41292898311168 is a `hidden beast` number, since 4 + 1 + 29 + 289 + 8 + 311 + 16 + 8 = 666.

It is a super-2 number, since 2×41292898311168² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41292898311163) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39973763580 + ... + 39973764612.

It is an arithmetic number, because the mean of its divisors is an integer number (95814927936).

Almost surely, 2^{41292898311168} is an apocalyptic number.

41292898311168 is a gapful number since it is divisible by the number (48) 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 41292898311168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75885422925312).

41292898311168 is an abundant number, since it is smaller than the sum of its proper divisors (110477947539456).

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

41292898311168 is a wasteful number, since it uses less digits than its factorization.

41292898311168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1230 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 63.

It can be divided in two parts, 412928 and 98311168, that added together give a square (98724096 = 9936²).

The spelling of 41292898311168 in words is "forty-one trillion, two hundred ninety-two billion, eight hundred ninety-eight million, three hundred eleven thousand, one hundred sixty-eight".