4729213440 has 720 divisors, whose sum is σ = 19648474560. Its totient is φ = 1047674880.

The previous prime is 4729213417. The next prime is 4729213441. The reversal of 4729213440 is 443129274.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×4729213440² = 44730919522153267200, which contains 22 as substring.

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 = 4729213395 and 4729213404.

It is not an unprimeable number, because it can be changed into a prime (4729213441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66608605 + ... + 66608675.

It is an arithmetic number, because the mean of its divisors is an integer number (27289548).

Almost surely, 2^4729213440 is an apocalyptic number.

4729213440 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 4729213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9824237280).

4729213440 is an abundant number, since it is smaller than the sum of its proper divisors (14919261120).

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

4729213440 is a wasteful number, since it uses less digits than its factorization.

4729213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4729213440 is about 68769.2768611100. The cubic root of 4729213440 is about 1678.5320510437.

The spelling of 4729213440 in words is "four billion, seven hundred twenty-nine million, two hundred thirteen thousand, four hundred forty".