40214314140 has 384 divisors, whose sum is σ = 156067430400. Its totient is φ = 7464268800.

The previous prime is 40214314121. The next prime is 40214314183. The reversal of 40214314140 is 4141341204.

It is a self number, because there is not a number n which added to its sum of digits gives 40214314140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1851061 + ... + 1872659.

It is an arithmetic number, because the mean of its divisors is an integer number (406425600).

Almost surely, 2^40214314140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40214314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78033715200).

40214314140 is an abundant number, since it is smaller than the sum of its proper divisors (115853116260).

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

40214314140 is a wasteful number, since it uses less digits than its factorization.

40214314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21673 (or 21671 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 40214314140 its reverse (4141341204), we get a palindrome (44355655344).

The spelling of 40214314140 in words is "forty billion, two hundred fourteen million, three hundred fourteen thousand, one hundred forty".