4167253440 has 224 divisors, whose sum is σ = 16801551360. Its totient is φ = 952501248.

The previous prime is 4167253417. The next prime is 4167253457. The reversal of 4167253440 is 443527614.

4167253440 is a `hidden beast` number, since 4 + 16 + 72 + 534 + 40 = 666.

4167253440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 4167253395 and 4167253404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26029 + ... + 94931.

Almost surely, 2^4167253440 is an apocalyptic number.

4167253440 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 4167253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400775680).

4167253440 is an abundant number, since it is smaller than the sum of its proper divisors (12634297920).

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

4167253440 is a wasteful number, since it uses less digits than its factorization.

4167253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68936 (or 68920 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4167253440 is about 64554.2674034800. The cubic root of 4167253440 is about 1609.2245072538.

The spelling of 4167253440 in words is "four billion, one hundred sixty-seven million, two hundred fifty-three thousand, four hundred forty".