10449194400 has 1008 divisors, whose sum is σ = 43034120640. Its totient is φ = 2463436800.

The previous prime is 10449194389. The next prime is 10449194401. The reversal of 10449194400 is 449194401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10449194401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 254858380 + ... + 254858420.

It is an arithmetic number, because the mean of its divisors is an integer number (42692580).

Almost surely, 2^10449194400 is an apocalyptic number.

10449194400 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 10449194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21517060320).

10449194400 is an abundant number, since it is smaller than the sum of its proper divisors (32584926240).

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

10449194400 is a wasteful number, since it uses less digits than its factorization.

10449194400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Subtracting from 10449194400 its reverse (449194401), we obtain a palindrome (9999999999).

It can be divided in two parts, 104491 and 94400, that added together give a palindrome (198891).

The spelling of 10449194400 in words is "ten billion, four hundred forty-nine million, one hundred ninety-four thousand, four hundred".