21180040 has 64 divisors (see below), whose sum is σ = 55324800. Its totient is φ = 7147008.

The previous prime is 21180017. The next prime is 21180043. The reversal of 21180040 is 4008112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21179996 and 21180023.

It is not an unprimeable number, because it can be changed into a prime (21180043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18196 + ... + 19324.

It is an arithmetic number, because the mean of its divisors is an integer number (864450).

Almost surely, 2^21180040 is an apocalyptic number.

21180040 is a gapful number since it is divisible by the number (20) 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 21180040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27662400).

21180040 is an abundant number, since it is smaller than the sum of its proper divisors (34144760).

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

21180040 is a wasteful number, since it uses less digits than its factorization.

21180040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 21180040 is about 4602.1777453723. The cubic root of 21180040 is about 276.6786143451.

Adding to 21180040 its reverse (4008112), we get a palindrome (25188152).

The spelling of 21180040 in words is "twenty-one million, one hundred eighty thousand, forty".