10024204350400 has 84 divisors (see below), whose sum is σ = 24678081194920. Its totient is φ = 4007686579200.

The previous prime is 10024204350313. The next prime is 10024204350431. The reversal of 10024204350400 is 405340242001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1659886 + ... + 4775314.

Almost surely, 2^{10024204350400} is an apocalyptic number.

10024204350400 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 10024204350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12339040597460).

10024204350400 is an abundant number, since it is smaller than the sum of its proper divisors (14653876844520).

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

10024204350400 is a wasteful number, since it uses less digits than its factorization.

10024204350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117462 (or 3117447 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10024204350400 its reverse (405340242001), we get a palindrome (10429544592401).

The spelling of 10024204350400 in words is "ten trillion, twenty-four billion, two hundred four million, three hundred fifty thousand, four hundred".