40800240 has 160 divisors (see below), whose sum is σ = 151448640. Its totient is φ = 10036224.

The previous prime is 40800209. The next prime is 40800241. The reversal of 40800240 is 4200804.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40800241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27354 + ... + 28806.

It is an arithmetic number, because the mean of its divisors is an integer number (946554).

Almost surely, 2^40800240 is an apocalyptic number.

40800240 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 40800240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75724320).

40800240 is an abundant number, since it is smaller than the sum of its proper divisors (110648400).

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

40800240 is a wasteful number, since it uses less digits than its factorization.

40800240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40800240 is about 6387.5065557696. The cubic root of 40800240 is about 344.2607991638.

The spelling of 40800240 in words is "forty million, eight hundred thousand, two hundred forty".