4933414080 has 672 divisors, whose sum is σ = 20792724480. Its totient is φ = 1097349120.

The previous prime is 4933414051. The next prime is 4933414103. The reversal of 4933414080 is 804143394.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18204345 + ... + 18204615.

Almost surely, 2^4933414080 is an apocalyptic number.

4933414080 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 4933414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10396362240).

4933414080 is an abundant number, since it is smaller than the sum of its proper divisors (15859310400).

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

4933414080 is a wasteful number, since it uses less digits than its factorization.

4933414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4933414080 is about 70238.2664934151. The cubic root of 4933414080 is about 1702.3513115115.

The spelling of 4933414080 in words is "four billion, nine hundred thirty-three million, four hundred fourteen thousand, eighty".