420004040 has 64 divisors (see below), whose sum is σ = 1014424560. Its totient is φ = 155934720.

The previous prime is 420004033. The next prime is 420004043. The reversal of 420004040 is 40400024.

It can be written as a sum of positive squares in 8 ways, for example, as 326958724 + 93045316 = 18082^2 + 9646^2 .

It is not an unprimeable number, because it can be changed into a prime (420004043) 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, 45410 + ... + 53870.

Almost surely, 2^420004040 is an apocalyptic number.

420004040 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 420004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507212280).

420004040 is an abundant number, since it is smaller than the sum of its proper divisors (594420520).

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

420004040 is a wasteful number, since it uses less digits than its factorization.

420004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8562 (or 8558 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 420004040 is about 20494.0000975895. Note that the first 4 decimals coincide. The cubic root of 420004040 is about 748.8896399082.

Adding to 420004040 its reverse (40400024), we get a palindrome (460404064).

The spelling of 420004040 in words is "four hundred twenty million, four thousand, forty".