41128456320 has 1280 divisors, whose sum is σ = 182345644800. Its totient is φ = 8620867584.

The previous prime is 41128456297. The next prime is 41128456373. The reversal of 41128456320 is 2365482114.

It is a happy number.

41128456320 is a `hidden beast` number, since 4 + 1 + 1 + 284 + 56 + 320 = 666.

It is a super-2 number, since 2×41128456320² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 363968584 + ... + 363968696.

It is an arithmetic number, because the mean of its divisors is an integer number (142457535).

Almost surely, 2^41128456320 is an apocalyptic number.

41128456320 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 41128456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91172822400).

41128456320 is an abundant number, since it is smaller than the sum of its proper divisors (141217188480).

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

41128456320 is a wasteful number, since it uses less digits than its factorization.

41128456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 41128456320 in words is "forty-one billion, one hundred twenty-eight million, four hundred fifty-six thousand, three hundred twenty".