10001228400 has 180 divisors, whose sum is σ = 35554078560. Its totient is φ = 2601907200.

The previous prime is 10001228389. The next prime is 10001228407. The reversal of 10001228400 is 482210001.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001228407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 113721 + ... + 181479.

Almost surely, 2^10001228400 is an apocalyptic number.

10001228400 is a gapful number since it is divisible by the number (10) 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 10001228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17777039280).

10001228400 is an abundant number, since it is smaller than the sum of its proper divisors (25552850160).

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

10001228400 is a wasteful number, since it uses less digits than its factorization.

10001228400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67824 (or 67810 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10001228400 its reverse (482210001), we get a palindrome (10483438401).

It can be divided in two parts, 10001228 and 400, that added together give a triangular number (10001628 = T₄₄₇₂).

The spelling of 10001228400 in words is "ten billion, one million, two hundred twenty-eight thousand, four hundred".