4064847281040 has 1920 divisors, whose sum is σ = 17235696844800. Its totient is φ = 783093104640.

The previous prime is 4064847281023. The next prime is 4064847281083. The reversal of 4064847281040 is 401827484604.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9701305951 + ... + 9701306369.

It is an arithmetic number, because the mean of its divisors is an integer number (8976925440).

Almost surely, 2^{4064847281040} is an apocalyptic number.

4064847281040 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 4064847281040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8617848422400).

4064847281040 is an abundant number, since it is smaller than the sum of its proper divisors (13170849563760).

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

4064847281040 is a wasteful number, since it uses less digits than its factorization.

4064847281040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

The spelling of 4064847281040 in words is "four trillion, sixty-four billion, eight hundred forty-seven million, two hundred eighty-one thousand, forty".