4261420693296 has 640 divisors, whose sum is σ = 14234288947200. Its totient is φ = 1224077266944.

The previous prime is 4261420693291. The next prime is 4261420693333. The reversal of 4261420693296 is 6923960241624.

4261420693296 is a `hidden beast` number, since 4 + 2 + 61 + 4 + 206 + 93 + 296 = 666.

4261420693296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4261420693296² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4261420693291) 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, 982118295 + ... + 982122633.

It is an arithmetic number, because the mean of its divisors is an integer number (22241076480).

Almost surely, 2^{4261420693296} 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 4261420693296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117144473600).

4261420693296 is an abundant number, since it is smaller than the sum of its proper divisors (9972868253904).

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

4261420693296 is a wasteful number, since it uses less digits than its factorization.

4261420693296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4525 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 4261420693296 in words is "four trillion, two hundred sixty-one billion, four hundred twenty million, six hundred ninety-three thousand, two hundred ninety-six".