4350151905792 has 1280 divisors, whose sum is σ = 16030864244736. Its totient is φ = 1013612544000.

The previous prime is 4350151905791. The next prime is 4350151905821. The reversal of 4350151905792 is 2975091510534.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (4350151905791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4425382933 + ... + 4425383915.

Almost surely, 2^{4350151905792} is an apocalyptic number.

4350151905792 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 4350151905792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015432122368).

4350151905792 is an abundant number, since it is smaller than the sum of its proper divisors (11680712338944).

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

4350151905792 is a wasteful number, since it uses less digits than its factorization.

4350151905792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 51.

The spelling of 4350151905792 in words is "four trillion, three hundred fifty billion, one hundred fifty-one million, nine hundred five thousand, seven hundred ninety-two".