40214410000 has 100 divisors (see below), whose sum is σ = 97570330000. Its totient is φ = 16051536000.

The previous prime is 40214409979. The next prime is 40214410013. The reversal of 40214410000 is 1441204.

40214410000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4985971 + ... + 4994029.

It is an arithmetic number, because the mean of its divisors is an integer number (975703300).

Almost surely, 2^40214410000 is an apocalyptic number.

40214410000 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 40214410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48785165000).

40214410000 is an abundant number, since it is smaller than the sum of its proper divisors (57355920000).

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

40214410000 is an equidigital number, since it uses as much as digits as its factorization.

40214410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8586 (or 8565 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 40214410000 its reverse (1441204), we get a palindrome (40215851204).

The spelling of 40214410000 in words is "forty billion, two hundred fourteen million, four hundred ten thousand".