41288700 has 72 divisors (see below), whose sum is σ = 120183280. Its totient is φ = 10944000.

The previous prime is 41288641. The next prime is 41288713. The reversal of 41288700 is 788214.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68400 + ... + 69000.

Almost surely, 2^41288700 is an apocalyptic number.

41288700 is the 3435-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41288700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60091640).

41288700 is an abundant number, since it is smaller than the sum of its proper divisors (78894580).

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

41288700 is a wasteful number, since it uses less digits than its factorization.

41288700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 41288700 is about 6425.6283739413. The cubic root of 41288700 is about 345.6291816173.

The spelling of 41288700 in words is "forty-one million, two hundred eighty-eight thousand, seven hundred".