4261204952928 has 768 divisors, whose sum is σ = 16220979855360. Its totient is φ = 1055980800000.

The previous prime is 4261204952887. The next prime is 4261204953059. The reversal of 4261204952928 is 8292594021624.

4261204952928 is a `hidden beast` number, since 4 + 2 + 6 + 120 + 495 + 2 + 9 + 28 = 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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146413578 + ... + 146442678.

It is an arithmetic number, because the mean of its divisors is an integer number (21121067520).

Almost surely, 2^{4261204952928} is an apocalyptic number.

4261204952928 is a gapful number since it is divisible by the number (48) 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 4261204952928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8110489927680).

4261204952928 is an abundant number, since it is smaller than the sum of its proper divisors (11959774902432).

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

4261204952928 is a wasteful number, since it uses less digits than its factorization.

4261204952928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29240 (or 29226 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 4261204952928 in words is "four trillion, two hundred sixty-one billion, two hundred four million, nine hundred fifty-two thousand, nine hundred twenty-eight".