8142958549440 has 1344 divisors, whose sum is σ = 35755176038400. Its totient is φ = 1670558515200.

The previous prime is 8142958549423. The next prime is 8142958549511. The reversal of 8142958549440 is 449458592418.

It is a happy number.

8142958549440 is a `hidden beast` number, since 8 + 1 + 4 + 2 + 9 + 585 + 4 + 9 + 4 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 242556976 + ... + 242590544.

It is an arithmetic number, because the mean of its divisors is an integer number (26603553600).

Almost surely, 2^{8142958549440} is an apocalyptic number.

8142958549440 is a gapful number since it is divisible by the number (80) 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 8142958549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17877588019200).

8142958549440 is an abundant number, since it is smaller than the sum of its proper divisors (27612217488960).

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

8142958549440 is a wasteful number, since it uses less digits than its factorization.

8142958549440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33666 (or 33653 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 8142958549440 in words is "eight trillion, one hundred forty-two billion, nine hundred fifty-eight million, five hundred forty-nine thousand, four hundred forty".