41134853760 has 1024 divisors, whose sum is σ = 186549350400. Its totient is φ = 7419985920.

The previous prime is 41134853713. The next prime is 41134853783. The reversal of 41134853760 is 6735843114.

It is a happy number.

It is a super-2 number, since 2×41134853760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32672011 + ... + 32673269.

It is an arithmetic number, because the mean of its divisors is an integer number (182177100).

Almost surely, 2^41134853760 is an apocalyptic number.

41134853760 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 41134853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93274675200).

41134853760 is an abundant number, since it is smaller than the sum of its proper divisors (145414496640).

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

41134853760 is a wasteful number, since it uses less digits than its factorization.

41134853760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 41134853760 in words is "forty-one billion, one hundred thirty-four million, eight hundred fifty-three thousand, seven hundred sixty".