4734083058432 has 1152 divisors, whose sum is σ = 16438861824000. Its totient is φ = 1201003905024.

The previous prime is 4734083058403. The next prime is 4734083058437. The reversal of 4734083058432 is 2348503804374.

It is not an unprimeable number, because it can be changed into a prime (4734083058437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10783788069 + ... + 10783788507.

Almost surely, 2^{4734083058432} is an apocalyptic number.

4734083058432 is a gapful number since it is divisible by the number (42) 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 4734083058432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8219430912000).

4734083058432 is an abundant number, since it is smaller than the sum of its proper divisors (11704778765568).

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

4734083058432 is a wasteful number, since it uses less digits than its factorization.

4734083058432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 4734083058432 in words is "four trillion, seven hundred thirty-four billion, eighty-three million, fifty-eight thousand, four hundred thirty-two".