4112320400 has 60 divisors (see below), whose sum is σ = 10461034692. Its totient is φ = 1548165120.

The previous prime is 4112320367. The next prime is 4112320427. The reversal of 4112320400 is 40232114.

It can be written as a sum of positive squares in 6 ways, for example, as 503194624 + 3609125776 = 22432^2 + 60076^2 .

It is a super-2 number, since 2×4112320400² = 33822358144512320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

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, 295577 + ... + 309176.

Almost surely, 2^4112320400 is an apocalyptic number.

4112320400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4112320400 is an abundant number, since it is smaller than the sum of its proper divisors (6348714292).

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

4112320400 is a wasteful number, since it uses less digits than its factorization.

4112320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604788 (or 604777 counting only the distinct ones).

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

The square root of 4112320400 is about 64127.3763692232. The cubic root of 4112320400 is about 1602.1222359105.

Adding to 4112320400 its reverse (40232114), we get a palindrome (4152552514).

The spelling of 4112320400 in words is "four billion, one hundred twelve million, three hundred twenty thousand, four hundred".