41788890 has 192 divisors, whose sum is σ = 135862272. Its totient is φ = 8755200.

The previous prime is 41788883. The next prime is 41788891. The reversal of 41788890 is 9888714.

It is a super-2 number, since 2×41788890² = 3492622654864200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41788891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 218695 + ... + 218885.

It is an arithmetic number, because the mean of its divisors is an integer number (707616).

Almost surely, 2^41788890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41788890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136).

41788890 is an abundant number, since it is smaller than the sum of its proper divisors (94073382).

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

41788890 is a wasteful number, since it uses less digits than its factorization.

41788890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 41788890 is about 6464.4326897261. The cubic root of 41788890 is about 347.0192859692.

The spelling of 41788890 in words is "forty-one million, seven hundred eighty-eight thousand, eight hundred ninety".