4213114400 has 72 divisors (see below), whose sum is σ = 11220313104. Its totient is φ = 1532038400.

The previous prime is 4213114387. The next prime is 4213114439. The reversal of 4213114400 is 44113124.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 230582 + ... + 248181.

It is an arithmetic number, because the mean of its divisors is an integer number (155837682).

Almost surely, 2^4213114400 is an apocalyptic number.

4213114400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4213114400 is an abundant number, since it is smaller than the sum of its proper divisors (7007198704).

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

4213114400 is a wasteful number, since it uses less digits than its factorization.

4213114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478794 (or 478781 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4213114400 is about 64908.5079169133. The cubic root of 4213114400 is about 1615.1061987055.

Adding to 4213114400 its reverse (44113124), we get a palindrome (4257227524).

The spelling of 4213114400 in words is "four billion, two hundred thirteen million, one hundred fourteen thousand, four hundred".