42322012404000 has 384 divisors, whose sum is σ = 160459381555200. Its totient is φ = 9551150668800.

The previous prime is 42322012403947. The next prime is 42322012404017. The reversal of 42322012404000 is 40421022324.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3447181 + ... + 9824819.

It is an arithmetic number, because the mean of its divisors is an integer number (417862972800).

Almost surely, 2^{42322012404000} is an apocalyptic number.

42322012404000 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 42322012404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80229690777600).

42322012404000 is an abundant number, since it is smaller than the sum of its proper divisors (118137369151200).

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

42322012404000 is a wasteful number, since it uses less digits than its factorization.

42322012404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6377753 (or 6377735 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42322012404000 its reverse (40421022324), we get a palindrome (42362433426324).

The spelling of 42322012404000 in words is "forty-two trillion, three hundred twenty-two billion, twelve million, four hundred four thousand".