4267974240 has 192 divisors, whose sum is σ = 15123568320. Its totient is φ = 1138033152.

The previous prime is 4267974239. The next prime is 4267974241. The reversal of 4267974240 is 424797624.

4267974240 is digitally balanced in base 2 and base 4, because in such bases 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 (4267974239) and next prime (4267974241).

It is a super-2 number, since 2×4267974240² = 36431208226607155200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4267974241) 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, 343822 + ... + 356018.

It is an arithmetic number, because the mean of its divisors is an integer number (78768585).

Almost surely, 2^4267974240 is an apocalyptic number.

4267974240 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 4267974240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561784160).

4267974240 is an abundant number, since it is smaller than the sum of its proper divisors (10855594080).

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

4267974240 is an equidigital number, since it uses as much as digits as its factorization.

4267974240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12233 (or 12207 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 4267974240 is about 65329.7347308253. The cubic root of 4267974240 is about 1622.0862011706.

The spelling of 4267974240 in words is "four billion, two hundred sixty-seven million, nine hundred seventy-four thousand, two hundred forty".