10034544000 has 384 divisors, whose sum is σ = 36049272480. Its totient is φ = 2468044800.

The previous prime is 10034543999. The next prime is 10034544019. The reversal of 10034544000 is 44543001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8111382 + ... + 8112618.

Almost surely, 2^10034544000 is an apocalyptic number.

10034544000 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 10034544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18024636240).

10034544000 is an abundant number, since it is smaller than the sum of its proper divisors (26014728480).

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

10034544000 is a wasteful number, since it uses less digits than its factorization.

10034544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Subtracting from 10034544000 its reverse (44543001), we obtain a palindrome (9990000999).

The spelling of 10034544000 in words is "ten billion, thirty-four million, five hundred forty-four thousand".