40420040424000 has 448 divisors, whose sum is σ = 135402427809792. Its totient is φ = 10622497536000.

The previous prime is 40420040423981. The next prime is 40420040424007. The reversal of 40420040424000 is 42404002404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40420040424007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7945749457 + ... + 7945754543.

Almost surely, 2^{40420040424000} is an apocalyptic number.

40420040424000 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 40420040424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67701213904896).

40420040424000 is an abundant number, since it is smaller than the sum of its proper divisors (94982387385792).

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

40420040424000 is a wasteful number, since it uses less digits than its factorization.

40420040424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9851 (or 9831 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 40420040424000 its reverse (42404002404), we get a palindrome (40462444426404).

The spelling of 40420040424000 in words is "forty trillion, four hundred twenty billion, forty million, four hundred twenty-four thousand".