4733951040 has 784 divisors, whose sum is σ = 20894942208. Its totient is φ = 994332672.

The previous prime is 4733951003. The next prime is 4733951059. The reversal of 4733951040 is 401593374.

4733951040 is a `hidden beast` number, since 4 + 73 + 39 + 510 + 40 = 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 = 4733950986 and 4733951004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 21228369 + ... + 21228591.

It is an arithmetic number, because the mean of its divisors is an integer number (26651712).

Almost surely, 2^4733951040 is an apocalyptic number.

4733951040 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 4733951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10447471104).

4733951040 is an abundant number, since it is smaller than the sum of its proper divisors (16160991168).

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

4733951040 is a wasteful number, since it uses less digits than its factorization.

4733951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4733951040 is about 68803.7138532507. The cubic root of 4733951040 is about 1679.0923668753.

The spelling of 4733951040 in words is "four billion, seven hundred thirty-three million, nine hundred fifty-one thousand, forty".