4012880400 has 240 divisors, whose sum is σ = 14616733120. Its totient is φ = 1045094400.

The previous prime is 4012880363. The next prime is 4012880407. The reversal of 4012880400 is 40882104.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4012880400² = 32206418209408320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4012880407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460080 + ... + 468720.

Almost surely, 2^4012880400 is an apocalyptic number.

4012880400 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 4012880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7308366560).

4012880400 is an abundant number, since it is smaller than the sum of its proper divisors (10603852720).

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

4012880400 is a wasteful number, since it uses less digits than its factorization.

4012880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8711 (or 8694 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 4012880400 is about 63347.2998635301. The cubic root of 4012880400 is about 1589.1030897386.

The spelling of 4012880400 in words is "four billion, twelve million, eight hundred eighty thousand, four hundred".