4067454240 has 72 divisors (see below), whose sum is σ = 13880192508. Its totient is φ = 1084654080.

The previous prime is 4067454229. The next prime is 4067454269. The reversal of 4067454240 is 424547604.

4067454240 is a `hidden beast` number, since 4 + 0 + 6 + 74 + 542 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3892262544 + 175191696 = 62388^2 + 13236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 4067454195 and 4067454204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1410871 + ... + 1413750.

Almost surely, 2^4067454240 is an apocalyptic number.

4067454240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4067454240 is an abundant number, since it is smaller than the sum of its proper divisors (9812738268).

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

4067454240 is a wasteful number, since it uses less digits than its factorization.

4067454240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2824642 (or 2824631 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 4067454240 is about 63776.5963343921. The cubic root of 4067454240 is about 1596.2744360079.

The spelling of 4067454240 in words is "four billion, sixty-seven million, four hundred fifty-four thousand, two hundred forty".