4012800 has 216 divisors, whose sum is σ = 15207360. Its totient is φ = 921600.

The previous prime is 4012783. The next prime is 4012829. The reversal of 4012800 is 82104.

It is a super-2 number, since 2×4012800² = 32205127680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4012800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211191 + ... + 211209.

Almost surely, 2^4012800 is an apocalyptic number.

4012800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7603680).

4012800 is an abundant number, since it is smaller than the sum of its proper divisors (11194560).

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

4012800 is a wasteful number, since it uses less digits than its factorization.

4012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4012800 is about 2003.1974440878. The cubic root of 4012800 is about 158.9092476851.

Adding to 4012800 its reverse (82104), we get a palindrome (4094904).

It can be divided in two parts, 40 and 12800, that multiplied together give a cube (512000 = 80³).

The spelling of 4012800 in words is "four million, twelve thousand, eight hundred".