42011200000 has 720 divisors, whose sum is σ = 136050292224. Its totient is φ = 12672000000.

The previous prime is 42011199947. The next prime is 42011200009. The reversal of 42011200000 is 211024.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 42011200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42011200009) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1355199985 + ... + 1355200015.

Almost surely, 2^42011200000 is an apocalyptic number.

42011200000 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 42011200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68025146112).

42011200000 is an abundant number, since it is smaller than the sum of its proper divisors (94039092224).

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

42011200000 is an frugal number, since it uses more digits than its factorization.

42011200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 42011200000 its reverse (211024), we get a palindrome (42011411024).

The spelling of 42011200000 in words is "forty-two billion, eleven million, two hundred thousand".