10022413334400 has 144 divisors (see below), whose sum is σ = 35762267682960. Its totient is φ = 2672643548160.

The previous prime is 10022413334363. The next prime is 10022413334429. The reversal of 10022413334400 is 443331422001.

10022413334400 is a `hidden beast` number, since 1 + 0 + 0 + 224 + 1 + 3 + 3 + 34 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 173971432 + ... + 174029031.

Almost surely, 2^{10022413334400} is an apocalyptic number.

10022413334400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022413334400 is an abundant number, since it is smaller than the sum of its proper divisors (25739854348560).

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

10022413334400 is a wasteful number, since it uses less digits than its factorization.

10022413334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348000493 (or 348000473 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10022413334400 its reverse (443331422001), we get a palindrome (10465744756401).

The spelling of 10022413334400 in words is "ten trillion, twenty-two billion, four hundred thirteen million, three hundred thirty-four thousand, four hundred".