40002880 has 56 divisors (see below), whose sum is σ = 97612200. Its totient is φ = 15605760.

The previous prime is 40002877. The next prime is 40002889. The reversal of 40002880 is 8820004.

It can be written as a sum of positive squares in 4 ways, for example, as 1364224 + 38638656 = 1168^2 + 6216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40002889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11596 + ... + 14644.

It is an arithmetic number, because the mean of its divisors is an integer number (1743075).

Almost surely, 2^40002880 is an apocalyptic number.

40002880 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 40002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48806100).

40002880 is an abundant number, since it is smaller than the sum of its proper divisors (57609320).

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

40002880 is a wasteful number, since it uses less digits than its factorization.

40002880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3097 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 40002880 is about 6324.7830002301. The cubic root of 40002880 is about 342.0033970229.

Adding to 40002880 its reverse (8820004), we get a palindrome (48822884).

The spelling of 40002880 in words is "forty million, two thousand, eight hundred eighty".