4261027965120 has 840 divisors, whose sum is σ = 15995863126320. Its totient is φ = 1076521881600.

The previous prime is 4261027965107. The next prime is 4261027965157. The reversal of 4261027965120 is 215697201624.

4261027965120 is a `hidden beast` number, since 4 + 2 + 61 + 0 + 2 + 79 + 6 + 512 + 0 = 666.

It is a super-2 number, since 2×4261027965120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1494571695 + ... + 1494574545.

It is an arithmetic number, because the mean of its divisors is an integer number (19042694198).

Almost surely, 2^{4261027965120} is an apocalyptic number.

4261027965120 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 4261027965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7997931563160).

4261027965120 is an abundant number, since it is smaller than the sum of its proper divisors (11734835161200).

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

4261027965120 is a wasteful number, since it uses less digits than its factorization.

4261027965120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3035 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 4261027965120 in words is "four trillion, two hundred sixty-one billion, twenty-seven million, nine hundred sixty-five thousand, one hundred twenty".