4059268951296 has 576 divisors, whose sum is σ = 12261896478720. Its totient is φ = 1183511347200.

The previous prime is 4059268951291. The next prime is 4059268951303. The reversal of 4059268951296 is 6921598629504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4059268951291) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3713877726 + ... + 3713878818.

It is an arithmetic number, because the mean of its divisors is an integer number (21288014720).

Almost surely, 2^{4059268951296} 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 4059268951296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6130948239360).

4059268951296 is an abundant number, since it is smaller than the sum of its proper divisors (8202627527424).

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

4059268951296 is a wasteful number, since it uses less digits than its factorization.

4059268951296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 66.

The spelling of 4059268951296 in words is "four trillion, fifty-nine billion, two hundred sixty-eight million, nine hundred fifty-one thousand, two hundred ninety-six".