4934112000 has 288 divisors, whose sum is σ = 16580928000. Its totient is φ = 1300377600.

The previous prime is 4934111999. The next prime is 4934112019. The reversal of 4934112000 is 2114394.

It is a super-2 number, since 2×4934112000² = 48690922457088000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9887751 + ... + 9888249.

Almost surely, 2^4934112000 is an apocalyptic number.

4934112000 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 4934112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8290464000).

4934112000 is an abundant number, since it is smaller than the sum of its proper divisors (11646816000).

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

4934112000 is a wasteful number, since it uses less digits than its factorization.

4934112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4934112000 is about 70243.2345496703. The cubic root of 4934112000 is about 1702.4315837791.

Adding to 4934112000 its reverse (2114394), we get a palindrome (4936226394).

The spelling of 4934112000 in words is "four billion, nine hundred thirty-four million, one hundred twelve thousand".