4263891840 has 896 divisors, whose sum is σ = 17793165600. Its totient is φ = 967458816.

The previous prime is 4263891829. The next prime is 4263891857. The reversal of 4263891840 is 481983624.

It is a happy number.

4263891840 is a `hidden beast` number, since 4 + 2 + 638 + 9 + 1 + 8 + 4 + 0 = 666.

4263891840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 115240302 + ... + 115240338.

Almost surely, 2^4263891840 is an apocalyptic number.

4263891840 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 4263891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8896582800).

4263891840 is an abundant number, since it is smaller than the sum of its proper divisors (13529273760).

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

4263891840 is a wasteful number, since it uses less digits than its factorization.

4263891840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4263891840 is about 65298.4826776243. The cubic root of 4263891840 is about 1621.5688505638.

The spelling of 4263891840 in words is "four billion, two hundred sixty-three million, eight hundred ninety-one thousand, eight hundred forty".