42333164400 has 120 divisors (see below), whose sum is σ = 136597600944. Its totient is φ = 11206400000.

The previous prime is 42333164389. The next prime is 42333164407. The reversal of 42333164400 is 446133324.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42333164407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35650 + ... + 293150.

Almost surely, 2^42333164400 is an apocalyptic number.

42333164400 is a gapful number since it is divisible by the number (40) 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 42333164400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68298800472).

42333164400 is an abundant number, since it is smaller than the sum of its proper divisors (94264436544).

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

42333164400 is a wasteful number, since it uses less digits than its factorization.

42333164400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257659 (or 257648 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 42333164400 its reverse (446133324), we get a palindrome (42779297724).

The spelling of 42333164400 in words is "forty-two billion, three hundred thirty-three million, one hundred sixty-four thousand, four hundred".