4261429965312 has 1280 divisors, whose sum is σ = 14923844812800. Its totient is φ = 1188899389440.

The previous prime is 4261429965311. The next prime is 4261429965313. The reversal of 4261429965312 is 2135699241624.

4261429965312 is a `hidden beast` number, since 4 + 2 + 6 + 14 + 2 + 9 + 96 + 531 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4261429965311) and next prime (4261429965313).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5598720) is a multiple of the sum of its prime divisors (512).

It is not an unprimeable number, because it can be changed into a prime (4261429965311) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13442996578 + ... + 13442996894.

It is an arithmetic number, because the mean of its divisors is an integer number (11659253760).

Almost surely, 2^{4261429965312} 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 4261429965312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7461922406400).

4261429965312 is an abundant number, since it is smaller than the sum of its proper divisors (10662414847488).

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

4261429965312 is a wasteful number, since it uses less digits than its factorization.

4261429965312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 512 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 4261429965312 in words is "four trillion, two hundred sixty-one billion, four hundred twenty-nine million, nine hundred sixty-five thousand, three hundred twelve".