4168074240 has 352 divisors, whose sum is σ = 16165077120. Its totient is φ = 1010073600.

The previous prime is 4168074193. The next prime is 4168074247. The reversal of 4168074240 is 424708614.

It is a tau number, because it is divible by the number of its divisors (352).

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 = 4168074195 and 4168074204.

It is not an unprimeable number, because it can be changed into a prime (4168074247) 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, 1519270 + ... + 1522010.

Almost surely, 2^4168074240 is an apocalyptic number.

4168074240 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 4168074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8082538560).

4168074240 is an abundant number, since it is smaller than the sum of its proper divisors (11997002880).

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

4168074240 is a wasteful number, since it uses less digits than its factorization.

4168074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4168074240 is about 64560.6245322952. The cubic root of 4168074240 is about 1609.3301535573.

The spelling of 4168074240 in words is "four billion, one hundred sixty-eight million, seventy-four thousand, two hundred forty".