4261021636410 has 384 divisors, whose sum is σ = 14194647028224. Its totient is φ = 860931348480.

The previous prime is 4261021636387. The next prime is 4261021636411. The reversal of 4261021636410 is 146361201624.

4261021636410 is a `hidden beast` number, since 4 + 2 + 6 + 1 + 0 + 2 + 1 + 6 + 3 + 641 + 0 = 666.

4261021636410 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-3 number, since 3×4261021636410³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4261021636411) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 495636232 + ... + 495644828.

It is an arithmetic number, because the mean of its divisors is an integer number (36965226636).

Almost surely, 2^{4261021636410} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4261021636410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7097323514112).

4261021636410 is an abundant number, since it is smaller than the sum of its proper divisors (9933625391814).

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

4261021636410 is a wasteful number, since it uses less digits than its factorization.

4261021636410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10598 (or 10595 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 4261021636410 in words is "four trillion, two hundred sixty-one billion, twenty-one million, six hundred thirty-six thousand, four hundred ten".