4020412400 has 60 divisors (see below), whose sum is σ = 9817445304. Its totient is φ = 1581792000.

The previous prime is 4020412387. The next prime is 4020412411. The reversal of 4020412400 is 42140204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57986 + ... + 106785.

Almost surely, 2^4020412400 is an apocalyptic number.

4020412400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4020412400 is an abundant number, since it is smaller than the sum of its proper divisors (5797032904).

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

4020412400 is a wasteful number, since it uses less digits than its factorization.

4020412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164850 (or 164839 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4020412400 is about 63406.7220411212. The cubic root of 4020412400 is about 1590.0966938809.

Adding to 4020412400 its reverse (42140204), we get a palindrome (4062552604).

The spelling of 4020412400 in words is "four billion, twenty million, four hundred twelve thousand, four hundred".