41288414003808 has 96 divisors (see below), whose sum is σ = 111313574539776. Its totient is φ = 13390567239168.

The previous prime is 41288414003723. The next prime is 41288414003839. The reversal of 41288414003808 is 80830041488214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×41288414003808² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253684185 + ... + 253846887.

It is an arithmetic number, because the mean of its divisors is an integer number (1159516401456).

Almost surely, 2^{41288414003808} is an apocalyptic number.

41288414003808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41288414003808 is an abundant number, since it is smaller than the sum of its proper divisors (70025160535968).

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

41288414003808 is a wasteful number, since it uses less digits than its factorization.

41288414003808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234196 (or 234188 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 51.

The spelling of 41288414003808 in words is "forty-one trillion, two hundred eighty-eight billion, four hundred fourteen million, three thousand, eight hundred eight".