42301222000400 has 240 divisors, whose sum is σ = 118390390387200. Its totient is φ = 14372746752000.

The previous prime is 42301222000391. The next prime is 42301222000403. The reversal of 42301222000400 is 400022210324.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42301222000403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1391405 + ... + 9302604.

It is an arithmetic number, because the mean of its divisors is an integer number (493293293280).

Almost surely, 2^{42301222000400} is an apocalyptic number.

42301222000400 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 42301222000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59195195193600).

42301222000400 is an abundant number, since it is smaller than the sum of its proper divisors (76089168386800).

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

42301222000400 is a wasteful number, since it uses less digits than its factorization.

42301222000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10694098 (or 10694087 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42301222000400 its reverse (400022210324), we get a palindrome (42701244210724).

The spelling of 42301222000400 in words is "forty-two trillion, three hundred one billion, two hundred twenty-two million, four hundred", and thus it is an aban number.