4261852938240 has 1088 divisors, whose sum is σ = 16065739468800. Its totient is φ = 1070176665600.

The previous prime is 4261852938229. The next prime is 4261852938257. The reversal of 4261852938240 is 428392581624.

4261852938240 is a `hidden beast` number, since 4 + 2 + 61 + 8 + 529 + 38 + 24 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11244994371 + ... + 11244994749.

Almost surely, 2^{4261852938240} is an apocalyptic number.

4261852938240 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 4261852938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8032869734400).

4261852938240 is an abundant number, since it is smaller than the sum of its proper divisors (11803886530560).

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

4261852938240 is an equidigital number, since it uses as much as digits as its factorization.

4261852938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 4261852938240 in words is "four trillion, two hundred sixty-one billion, eight hundred fifty-two million, nine hundred thirty-eight thousand, two hundred forty".