4293381120 has 352 divisors, whose sum is σ = 15937909248. Its totient is φ = 966131712.

The previous prime is 4293381119. The next prime is 4293381121. The reversal of 4293381120 is 211833924.

It is an interprime number because it is at equal distance from previous prime (4293381119) and next prime (4293381121).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4293381121) 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, 7848687 + ... + 7849233.

Almost surely, 2^4293381120 is an apocalyptic number.

4293381120 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 4293381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968954624).

4293381120 is an abundant number, since it is smaller than the sum of its proper divisors (11644528128).

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

4293381120 is a wasteful number, since it uses less digits than its factorization.

4293381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4293381120 is about 65523.8973199855. The cubic root of 4293381120 is about 1625.2985480660.

The spelling of 4293381120 in words is "four billion, two hundred ninety-three million, three hundred eighty-one thousand, one hundred twenty".