42000000000000 has 728 divisors, whose sum is σ = 159990234243936. Its totient is φ = 9600000000000.

The previous prime is 41999999999999. The next prime is 42000000000031. The reversal of 42000000000000 is 24.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 5999999999997 + ... + 6000000000003.

Almost surely, 2^{42000000000000} is an apocalyptic number.

42000000000000 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 42000000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79995117121968).

42000000000000 is an abundant number, since it is smaller than the sum of its proper divisors (117990234243936).

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

42000000000000 is an frugal number, since it uses more digits than its factorization.

42000000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

Adding to 42000000000000 its reverse (24), we get a palindrome (42000000000024).

It can be divided in two parts, 4 and 2000000000000, that multiplied together give a cube (8000000000000 = 20000³).

The spelling of 42000000000000 in words is "forty-two trillion", and thus it is an aban number, an eban number, and an uban number.