10032240400 has 180 divisors, whose sum is σ = 30195054372. Its totient is φ = 3174958080.

The previous prime is 10032240371. The next prime is 10032240401. The reversal of 10032240400 is 404223001.

It can be written as a sum of positive squares in 6 ways, for example, as 1016064 + 10031224336 = 1008^2 + 100156^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10032240401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235114 + ... + 274486.

Almost surely, 2^10032240400 is an apocalyptic number.

10032240400 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 10032240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15097527186).

10032240400 is an abundant number, since it is smaller than the sum of its proper divisors (20162813972).

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

10032240400 is a wasteful number, since it uses less digits than its factorization.

10032240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39418 (or 39400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10032240400 its reverse (404223001), we get a palindrome (10436463401).

The spelling of 10032240400 in words is "ten billion, thirty-two million, two hundred forty thousand, four hundred".