10440434000 has 40 divisors (see below), whose sum is σ = 25244974248. Its totient is φ = 4176172800.

The previous prime is 10440433981. The next prime is 10440434021. The reversal of 10440434000 is 43404401.

It can be written as a sum of positive squares in 4 ways, for example, as 345811216 + 10094622784 = 18596^2 + 100472^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 2608109 + ... + 2612108.

Almost surely, 2^10440434000 is an apocalyptic number.

10440434000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10440434000 is an abundant number, since it is smaller than the sum of its proper divisors (14804540248).

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

10440434000 is an equidigital number, since it uses as much as digits as its factorization.

10440434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5220240 (or 5220224 counting only the distinct ones).

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

Adding to 10440434000 its reverse (43404401), we get a palindrome (10483838401).

The spelling of 10440434000 in words is "ten billion, four hundred forty million, four hundred thirty-four thousand".