4213120400 has 60 divisors (see below), whose sum is σ = 10131922944. Its totient is φ = 1683600000.

The previous prime is 4213120369. The next prime is 4213120433. The reversal of 4213120400 is 40213124.

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, 455825 + ... + 464975.

Almost surely, 2^4213120400 is an apocalyptic number.

4213120400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4213120400 is an abundant number, since it is smaller than the sum of its proper divisors (5918802544).

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

4213120400 is a wasteful number, since it uses less digits than its factorization.

4213120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10320 (or 10309 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4213120400 is about 64908.5541357994. The cubic root of 4213120400 is about 1615.1069654093.

Adding to 4213120400 its reverse (40213124), we get a palindrome (4253333524).

The spelling of 4213120400 in words is "four billion, two hundred thirteen million, one hundred twenty thousand, four hundred".