41413680 has 400 divisors, whose sum is σ = 181488384. Its totient is φ = 8501760.

The previous prime is 41413663. The next prime is 41413699. The reversal of 41413680 is 8631414.

It is a super-2 number, since 2×41413680² = 3430185782284800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 498919 + ... + 499001.

Almost surely, 2^41413680 is an apocalyptic number.

41413680 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 41413680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90744192).

41413680 is an abundant number, since it is smaller than the sum of its proper divisors (140074704).

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

41413680 is a wasteful number, since it uses less digits than its factorization.

41413680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 41413680 is about 6435.3461445364. The cubic root of 41413680 is about 345.9775676815.

The spelling of 41413680 in words is "forty-one million, four hundred thirteen thousand, six hundred eighty".