42120452000 has 192 divisors, whose sum is σ = 117809572608. Its totient is φ = 14650240000.

The previous prime is 42120451979. The next prime is 42120452063. The reversal of 42120452000 is 25402124.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 991190 + ... + 1032810.

It is an arithmetic number, because the mean of its divisors is an integer number (613591524).

Almost surely, 2^42120452000 is an apocalyptic number.

42120452000 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 42120452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58904786304).

42120452000 is an abundant number, since it is smaller than the sum of its proper divisors (75689120608).

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

42120452000 is a wasteful number, since it uses less digits than its factorization.

42120452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41680 (or 41662 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 42120452000 its reverse (25402124), we get a palindrome (42145854124).

The spelling of 42120452000 in words is "forty-two billion, one hundred twenty million, four hundred fifty-two thousand".