4701312000 has 1056 divisors, whose sum is σ = 21520422144. Its totient is φ = 958464000.

The previous prime is 4701311977. The next prime is 4701312013. The reversal of 4701312000 is 2131074.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 88703974 + ... + 88704026.

Almost surely, 2^4701312000 is an apocalyptic number.

4701312000 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 4701312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10760211072).

4701312000 is an abundant number, since it is smaller than the sum of its proper divisors (16819110144).

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

4701312000 is a wasteful number, since it uses less digits than its factorization.

4701312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 4701312000 is about 68566.1140797698. The cubic root of 4701312000 is about 1675.2245336484.

Adding to 4701312000 its reverse (2131074), we get a palindrome (4703443074).

The spelling of 4701312000 in words is "four billion, seven hundred one million, three hundred twelve thousand".