10045434400 has 72 divisors (see below), whose sum is σ = 24939185040. Its totient is φ = 3950050560.

The previous prime is 10045434389. The next prime is 10045434407. The reversal of 10045434400 is 443454001.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (10045434407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59214 + ... + 153613.

It is an arithmetic number, because the mean of its divisors is an integer number (346377570).

Almost surely, 2^10045434400 is an apocalyptic number.

10045434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10045434400 is an abundant number, since it is smaller than the sum of its proper divisors (14893750640).

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

10045434400 is a wasteful number, since it uses less digits than its factorization.

10045434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212906 (or 212893 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10045434400 its reverse (443454001), we get a palindrome (10488888401).

The spelling of 10045434400 in words is "ten billion, forty-five million, four hundred thirty-four thousand, four hundred".