4667212440 has 1024 divisors, whose sum is σ = 19906560000. Its totient is φ = 958003200.

The previous prime is 4667212387. The next prime is 4667212447. The reversal of 4667212440 is 442127664.

4667212440 is a `hidden beast` number, since 466 + 72 + 124 + 4 + 0 = 666.

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 = 4667212395 and 4667212404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4667212447) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 150555225 + ... + 150555255.

It is an arithmetic number, because the mean of its divisors is an integer number (19440000).

Almost surely, 2^4667212440 is an apocalyptic number.

4667212440 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 4667212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9953280000).

4667212440 is an abundant number, since it is smaller than the sum of its proper divisors (15239347560).

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

4667212440 is a wasteful number, since it uses less digits than its factorization.

4667212440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4667212440 is about 68316.9996413777. Note that the first 3 decimals coincide. The cubic root of 4667212440 is about 1671.1644549327.

The spelling of 4667212440 in words is "four billion, six hundred sixty-seven million, two hundred twelve thousand, four hundred forty".