4261969920 has 512 divisors, whose sum is σ = 15854227200. Its totient is φ = 968884224.

The previous prime is 4261969913. The next prime is 4261969927. The reversal of 4261969920 is 299691624.

It is an interprime number because it is at equal distance from previous prime (4261969913) and next prime (4261969927).

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4261969920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4261969927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146964466 + ... + 146964494.

Almost surely, 2^4261969920 is an apocalyptic number.

4261969920 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 4261969920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7927113600).

4261969920 is an abundant number, since it is smaller than the sum of its proper divisors (11592257280).

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

4261969920 is a wasteful number, since it uses less digits than its factorization.

4261969920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 4261969920 is about 65283.7645973331. The cubic root of 4261969920 is about 1621.3251769365.

The spelling of 4261969920 in words is "four billion, two hundred sixty-one million, nine hundred sixty-nine thousand, nine hundred twenty".