10024432320 has 224 divisors, whose sum is σ = 37629388800. Its totient is φ = 2212245504.

The previous prime is 10024432307. The next prime is 10024432337. The reversal of 10024432320 is 2323442001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169161 + ... + 220599.

Almost surely, 2^10024432320 is an apocalyptic number.

10024432320 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 10024432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18814694400).

10024432320 is an abundant number, since it is smaller than the sum of its proper divisors (27604956480).

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

10024432320 is a wasteful number, since it uses less digits than its factorization.

10024432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51495 (or 51485 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10024432320 its reverse (2323442001), we get a palindrome (12347874321).

The spelling of 10024432320 in words is "ten billion, twenty-four million, four hundred thirty-two thousand, three hundred twenty".