41014116033264 has 120 divisors (see below), whose sum is σ = 129535178526000. Its totient is φ = 11999950341120.

The previous prime is 41014116033211. The next prime is 41014116033269. The reversal of 41014116033264 is 46233061141014.

41014116033264 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 4 + 11 + 603 + 32 + 6 + 4 = 666.

It is a super-2 number, since 2×41014116033264² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41014116033269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446380789 + ... + 446472660.

It is an arithmetic number, because the mean of its divisors is an integer number (1079459821050).

Almost surely, 2^{41014116033264} is an apocalyptic number.

41014116033264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41014116033264 is an abundant number, since it is smaller than the sum of its proper divisors (88521062492736).

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

41014116033264 is a wasteful number, since it uses less digits than its factorization.

41014116033264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892853503 (or 892853494 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 41014116033264 its reverse (46233061141014), we get a palindrome (87247177174278).

The spelling of 41014116033264 in words is "forty-one trillion, fourteen billion, one hundred sixteen million, thirty-three thousand, two hundred sixty-four".