42001404324012 has 288 divisors, whose sum is σ = 129958970179584. Its totient is φ = 11607164827200.

The previous prime is 42001404323953. The next prime is 42001404324023. The reversal of 42001404324012 is 21042340410024.

42001404324012 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 1 + 404 + 3 + 240 + 12 = 666.

It is a super-2 number, since 2×42001404324012² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407242683 + ... + 407345805.

Almost surely, 2^{42001404324012} is an apocalyptic number.

42001404324012 is a gapful number since it is divisible by the number (42) 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 42001404324012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64979485089792).

42001404324012 is an abundant number, since it is smaller than the sum of its proper divisors (87957565855572).

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

42001404324012 is a wasteful number, since it uses less digits than its factorization.

42001404324012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105111 (or 105097 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42001404324012 its reverse (21042340410024), we get a palindrome (63043744734036).

The spelling of 42001404324012 in words is "forty-two trillion, one billion, four hundred four million, three hundred twenty-four thousand, twelve".