40214442000 has 320 divisors, whose sum is σ = 135802308096. Its totient is φ = 10218700800.

The previous prime is 40214441959. The next prime is 40214442031. The reversal of 40214442000 is 24441204.

It is an unprimeable number.

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, 59753664 + ... + 59754336.

Almost surely, 2^40214442000 is an apocalyptic number.

40214442000 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 40214442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67901154048).

40214442000 is an abundant number, since it is smaller than the sum of its proper divisors (95587866096).

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

40214442000 is a wasteful number, since it uses less digits than its factorization.

40214442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 40214442000 its reverse (24441204), we get a palindrome (40238883204).

The spelling of 40214442000 in words is "forty billion, two hundred fourteen million, four hundred forty-two thousand".