42012542000 has 320 divisors, whose sum is σ = 126381161088. Its totient is φ = 13271040000.

The previous prime is 42012541993. The next prime is 42012542009. The reversal of 42012542000 is 24521024.

It is a happy number.

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 (42012542009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4857680 + ... + 4866320.

Almost surely, 2^42012542000 is an apocalyptic number.

42012542000 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 42012542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63190580544).

42012542000 is an abundant number, since it is smaller than the sum of its proper divisors (84368619088).

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

42012542000 is a wasteful number, since it uses less digits than its factorization.

42012542000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8705 (or 8689 counting only the distinct ones).

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

The spelling of 42012542000 in words is "forty-two billion, twelve million, five hundred forty-two thousand".