41137274880 has 816 divisors, whose sum is σ = 163167666480. Its totient is φ = 9512681472.

The previous prime is 41137274879. The next prime is 41137274897. The reversal of 41137274880 is 8847273114.

It can be written as a sum of positive squares in 8 ways, for example, as 28901376 + 41108373504 = 5376^2 + 202752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111818222 + ... + 1111818258.

Almost surely, 2^41137274880 is an apocalyptic number.

41137274880 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 41137274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81583833240).

41137274880 is an abundant number, since it is smaller than the sum of its proper divisors (122030391600).

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

41137274880 is a wasteful number, since it uses less digits than its factorization.

41137274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 41137274880 in words is "forty-one billion, one hundred thirty-seven million, two hundred seventy-four thousand, eight hundred eighty".