10024414400 has 504 divisors, whose sum is σ = 33427964640. Its totient is φ = 2879078400.

The previous prime is 10024414399. The next prime is 10024414471. The reversal of 10024414400 is 441442001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17617316 + ... + 17617884.

Almost surely, 2^10024414400 is an apocalyptic number.

10024414400 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 10024414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713982320).

10024414400 is an abundant number, since it is smaller than the sum of its proper divisors (23403550240).

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

10024414400 is a wasteful number, since it uses less digits than its factorization.

10024414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10024414400 its reverse (441442001), we get a palindrome (10465856401).

It can be divided in two parts, 10024 and 414400, that added together give a palindrome (424424).

The spelling of 10024414400 in words is "ten billion, twenty-four million, four hundred fourteen thousand, four hundred".