41430096 has 80 divisors (see below), whose sum is σ = 123057600. Its totient is φ = 13329792.

The previous prime is 41430083. The next prime is 41430101. The reversal of 41430096 is 69003414.

It is a super-3 number, since 3×41430096³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 13.

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, 10875 + ... + 14181.

It is an arithmetic number, because the mean of its divisors is an integer number (1538220).

Almost surely, 2^41430096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41430096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61528800).

41430096 is an abundant number, since it is smaller than the sum of its proper divisors (81627504).

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

41430096 is a wasteful number, since it uses less digits than its factorization.

41430096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3353 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 41430096 is about 6436.6214740343. The cubic root of 41430096 is about 346.0232757460.

The spelling of 41430096 in words is "forty-one million, four hundred thirty thousand, ninety-six".