10140432000 has 512 divisors, whose sum is σ = 36546681600. Its totient is φ = 2485862400.

The previous prime is 10140431989. The next prime is 10140432053. The reversal of 10140432000 is 23404101.

It is a super-2 number, since 2×10140432000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 235823979 + ... + 235824021.

Almost surely, 2^10140432000 is an apocalyptic number.

10140432000 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 10140432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18273340800).

10140432000 is an abundant number, since it is smaller than the sum of its proper divisors (26406249600).

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

10140432000 is an frugal number, since it uses more digits than its factorization.

10140432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10140432000 its reverse (23404101), we get a palindrome (10163836101).

The spelling of 10140432000 in words is "ten billion, one hundred forty million, four hundred thirty-two thousand".