420400040 has 32 divisors (see below), whose sum is σ = 947484000. Its totient is φ = 167878464.

The previous prime is 420399997. The next prime is 420400067. The reversal of 420400040 is 40004024.

It is a junction number, because it is equal to n+sod(n) for n = 420399988 and 420400024.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16271 + ... + 33249.

It is an arithmetic number, because the mean of its divisors is an integer number (29608875).

Almost surely, 2^420400040 is an apocalyptic number.

420400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420400040 is an abundant number, since it is smaller than the sum of its proper divisors (527083960).

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

420400040 is a wasteful number, since it uses less digits than its factorization.

420400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17609 (or 17605 counting only the distinct ones).

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

The square root of 420400040 is about 20503.6591856186. The cubic root of 420400040 is about 749.1249290278.

Adding to 420400040 its reverse (40004024), we get a palindrome (460404064).

The spelling of 420400040 in words is "four hundred twenty million, four hundred thousand, forty".