40301141440 has 112 divisors (see below), whose sum is σ = 110283735744. Its totient is φ = 13741056000.

The previous prime is 40301141437. The next prime is 40301141453. The reversal of 40301141440 is 4414110304.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355740 + ... + 455140.

It is an arithmetic number, because the mean of its divisors is an integer number (984676212).

Almost surely, 2^40301141440 is an apocalyptic number.

40301141440 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 40301141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55141867872).

40301141440 is an abundant number, since it is smaller than the sum of its proper divisors (69982594304).

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

40301141440 is a wasteful number, since it uses less digits than its factorization.

40301141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99606 (or 99596 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 40301141440 its reverse (4414110304), we get a palindrome (44715251744).

The spelling of 40301141440 in words is "forty billion, three hundred one million, one hundred forty-one thousand, four hundred forty".