4140325484640 has 864 divisors, whose sum is σ = 15675540098400. Its totient is φ = 1031749042176.

The previous prime is 4140325484629. The next prime is 4140325484663. The reversal of 4140325484640 is 464845230414.

It is a happy number.

4140325484640 is a `hidden beast` number, since 4 + 1 + 40 + 3 + 2 + 548 + 4 + 64 + 0 = 666.

4140325484640 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 (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1674210444 + ... + 1674212916.

It is an arithmetic number, because the mean of its divisors is an integer number (18142986225).

Almost surely, 2^{4140325484640} is an apocalyptic number.

4140325484640 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 4140325484640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837770049200).

4140325484640 is an abundant number, since it is smaller than the sum of its proper divisors (11535214613760).

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

4140325484640 is a wasteful number, since it uses less digits than its factorization.

4140325484640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 4140325484640 in words is "four trillion, one hundred forty billion, three hundred twenty-five million, four hundred eighty-four thousand, six hundred forty".