4253667840 has 360 divisors, whose sum is σ = 15444128700. Its totient is φ = 1081884672.

The previous prime is 4253667811. The next prime is 4253667851. The reversal of 4253667840 is 487663524.

4253667840 is a `hidden beast` number, since 4 + 2 + 536 + 6 + 78 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4242698496 + 10969344 = 65136^2 + 3312^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12187986 + ... + 12188334.

Almost surely, 2^4253667840 is an apocalyptic number.

4253667840 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 4253667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722064350).

4253667840 is an abundant number, since it is smaller than the sum of its proper divisors (11190460860).

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

4253667840 is a wasteful number, since it uses less digits than its factorization.

4253667840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4253667840 is about 65220.1490338684. The cubic root of 4253667840 is about 1620.2717422520.

The spelling of 4253667840 in words is "four billion, two hundred fifty-three million, six hundred sixty-seven thousand, eight hundred forty".