41453680128 has 480 divisors, whose sum is σ = 134647096320. Its totient is φ = 11287019520.

The previous prime is 41453680127. The next prime is 41453680153. The reversal of 41453680128 is 82108635414.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41453680128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41453680123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254316975 + ... + 254317137.

It is an arithmetic number, because the mean of its divisors is an integer number (280514784).

Almost surely, 2^41453680128 is an apocalyptic number.

41453680128 is a gapful number since it is divisible by the number (48) 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 41453680128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67323548160).

41453680128 is an abundant number, since it is smaller than the sum of its proper divisors (93193416192).

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

41453680128 is a wasteful number, since it uses less digits than its factorization.

41453680128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 41453680128 in words is "forty-one billion, four hundred fifty-three million, six hundred eighty thousand, one hundred twenty-eight".