42020402230400 has 192 divisors, whose sum is σ = 113865862743360. Its totient is φ = 15195723264000.

The previous prime is 42020402230397. The next prime is 42020402230409. The reversal of 42020402230400 is 403220402024.

It is a super-3 number, since 3×42020402230400³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (42020402230409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3073517 + ... + 9668883.

It is an arithmetic number, because the mean of its divisors is an integer number (593051368455).

Almost surely, 2^{42020402230400} is an apocalyptic number.

42020402230400 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 42020402230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56932931371680).

42020402230400 is an abundant number, since it is smaller than the sum of its proper divisors (71845460512960).

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

42020402230400 is a wasteful number, since it uses less digits than its factorization.

42020402230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595583 (or 6595566 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 42020402230400 its reverse (403220402024), we get a palindrome (42423622632424).

The spelling of 42020402230400 in words is "forty-two trillion, twenty billion, four hundred two million, two hundred thirty thousand, four hundred".