40004880 has 160 divisors (see below), whose sum is σ = 135229440. Its totient is φ = 9745920.

The previous prime is 40004857. The next prime is 40004897. The reversal of 40004880 is 8840004.

40004880 = 231² + 232² + ... + 509².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 40004880.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141219 + ... + 141501.

It is an arithmetic number, because the mean of its divisors is an integer number (845184).

Almost surely, 2^40004880 is an apocalyptic number.

40004880 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 40004880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67614720).

40004880 is an abundant number, since it is smaller than the sum of its proper divisors (95224560).

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

40004880 is a wasteful number, since it uses less digits than its factorization.

40004880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 40004880 is about 6324.9411064452. The cubic root of 40004880 is about 342.0090965742.

Adding to 40004880 its reverse (8840004), we get a palindrome (48844884).

The spelling of 40004880 in words is "forty million, four thousand, eight hundred eighty".