40890240 has 192 divisors, whose sum is σ = 146390400. Its totient is φ = 10506240.

The previous prime is 40890233. The next prime is 40890257. The reversal of 40890240 is 4209804.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 178446 + ... + 178674.

It is an arithmetic number, because the mean of its divisors is an integer number (762450).

Almost surely, 2^40890240 is an apocalyptic number.

40890240 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 40890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73195200).

40890240 is an abundant number, since it is smaller than the sum of its proper divisors (105500160).

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

40890240 is a wasteful number, since it uses less digits than its factorization.

40890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

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

The square root of 40890240 is about 6394.5476775140. The cubic root of 40890240 is about 344.5137447181.

The spelling of 40890240 in words is "forty million, eight hundred ninety thousand, two hundred forty".