42122040000 has 280 divisors, whose sum is σ = 140139328560. Its totient is φ = 11162112000.

The previous prime is 42122039951. The next prime is 42122040013. The reversal of 42122040000 is 4022124.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 20758986 + ... + 20761014.

It is an arithmetic number, because the mean of its divisors is an integer number (500497602).

Almost surely, 2^42122040000 is an apocalyptic number.

42122040000 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 42122040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70069664280).

42122040000 is an abundant number, since it is smaller than the sum of its proper divisors (98017288560).

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

42122040000 is a wasteful number, since it uses less digits than its factorization.

42122040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2237 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 42122040000 its reverse (4022124), we get a palindrome (42126062124).

The spelling of 42122040000 in words is "forty-two billion, one hundred twenty-two million, forty thousand".