10022232413400 has 192 divisors, whose sum is σ = 31198972617120. Its totient is φ = 2661429657600.

The previous prime is 10022232413381. The next prime is 10022232413407. The reversal of 10022232413400 is 431423222001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022232413407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150584130 + ... + 150650670.

Almost surely, 2^{10022232413400} is an apocalyptic number.

10022232413400 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 10022232413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15599486308560).

10022232413400 is an abundant number, since it is smaller than the sum of its proper divisors (21176740203720).

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

10022232413400 is a wasteful number, since it uses less digits than its factorization.

10022232413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67606 (or 67597 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10022232413400 its reverse (431423222001), we get a palindrome (10453655635401).

The spelling of 10022232413400 in words is "ten trillion, twenty-two billion, two hundred thirty-two million, four hundred thirteen thousand, four hundred".