4633122240 has 280 divisors, whose sum is σ = 16929762432. Its totient is φ = 1201858560.

The previous prime is 4633122223. The next prime is 4633122257. The reversal of 4633122240 is 422213364.

4633122240 is a `hidden beast` number, since 4 + 633 + 1 + 2 + 2 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4633122223) and next prime (4633122257).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 956625 + ... + 961455.

Almost surely, 2^4633122240 is an apocalyptic number.

4633122240 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 4633122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8464881216).

4633122240 is an abundant number, since it is smaller than the sum of its proper divisors (12296640192).

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

4633122240 is a wasteful number, since it uses less digits than its factorization.

4633122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4897 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 4633122240 is about 68067.0422451277. The cubic root of 4633122240 is about 1667.0856745617.

The spelling of 4633122240 in words is "four billion, six hundred thirty-three million, one hundred twenty-two thousand, two hundred forty".