42012440000 has 280 divisors, whose sum is σ = 113920633728. Its totient is φ = 15298560000.

The previous prime is 42012439993. The next prime is 42012440003. The reversal of 42012440000 is 4421024.

It is a super-2 number, since 2×42012440000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42012440003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21079004 + ... + 21080996.

Almost surely, 2^42012440000 is an apocalyptic number.

42012440000 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 42012440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56960316864).

42012440000 is an abundant number, since it is smaller than the sum of its proper divisors (71908193728).

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

42012440000 is a wasteful number, since it uses less digits than its factorization.

42012440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 42012440000 its reverse (4421024), we get a palindrome (42016861024).

The spelling of 42012440000 in words is "forty-two billion, twelve million, four hundred forty thousand".