224034001000400 has 60 divisors (see below), whose sum is σ = 538414259073600. Its totient is φ = 89584868384640.

The previous prime is 224034001000379. The next prime is 224034001000457. The reversal of 224034001000400 is 4000100430422.

224034001000400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 88538390 + ... + 91033589.

It is an arithmetic number, because the mean of its divisors is an integer number (8973570984560).

Almost surely, 2^{224034001000400} is an apocalyptic number.

224034001000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224034001000400 is an abundant number, since it is smaller than the sum of its proper divisors (314380258073200).

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

224034001000400 is a wasteful number, since it uses less digits than its factorization.

224034001000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179575116 (or 179575105 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 224034001000400 its reverse (4000100430422), we get a palindrome (228034101430822).

The spelling of 224034001000400 in words is "two hundred twenty-four trillion, thirty-four billion, one million, four hundred", and thus it is an aban number.