10714432000 has 80 divisors (see below), whose sum is σ = 26717265432. Its totient is φ = 4285747200.

The previous prime is 10714431997. The next prime is 10714432039. The reversal of 10714432000 is 23441701.

It can be written as a sum of positive squares in 4 ways, for example, as 6179217664 + 4535214336 = 78608^2 + 67344^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10714432000² (a number of 21 digits) contains 22 as substring.

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, 19707 + ... + 147706.

Almost surely, 2^10714432000 is an apocalyptic number.

10714432000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10714432000 is an abundant number, since it is smaller than the sum of its proper divisors (16002833432).

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

10714432000 is an frugal number, since it uses more digits than its factorization.

10714432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167446 (or 167420 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

Adding to 10714432000 its reverse (23441701), we get a palindrome (10737873701).

The spelling of 10714432000 in words is "ten billion, seven hundred fourteen million, four hundred thirty-two thousand".