4267391040 has 392 divisors, whose sum is σ = 16630668288. Its totient is φ = 1033896960.

The previous prime is 4267391033. The next prime is 4267391047. The reversal of 4267391040 is 401937624.

4267391040 is a `hidden beast` number, since 4 + 267 + 391 + 0 + 4 + 0 = 666.

4267391040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4267391033) and next prime (4267391047).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4267390986 and 4267391004.

It is not an unprimeable number, because it can be changed into a prime (4267391047) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2565249 + ... + 2566911.

Almost surely, 2^4267391040 is an apocalyptic number.

4267391040 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 4267391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8315334144).

4267391040 is an abundant number, since it is smaller than the sum of its proper divisors (12363277248).

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

4267391040 is a wasteful number, since it uses less digits than its factorization.

4267391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4267391040 is about 65325.2710671758. The cubic root of 4267391040 is about 1622.0123141451.

The spelling of 4267391040 in words is "four billion, two hundred sixty-seven million, three hundred ninety-one thousand, forty".