4311345456000 has 768 divisors, whose sum is σ = 16989389426880. Its totient is φ = 1039067136000.

The previous prime is 4311345455999. The next prime is 4311345456037. The reversal of 4311345456000 is 6545431134.

4311345456000 is a `hidden beast` number, since 4 + 3 + 1 + 1 + 3 + 4 + 5 + 45 + 600 + 0 = 666.

4311345456000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 274024134 + ... + 274039866.

Almost surely, 2^{4311345456000} is an apocalyptic number.

4311345456000 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 4311345456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8494694713440).

4311345456000 is an abundant number, since it is smaller than the sum of its proper divisors (12678043970880).

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

4311345456000 is a wasteful number, since it uses less digits than its factorization.

4311345456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15952 (or 15927 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 4311345456000 in words is "four trillion, three hundred eleven billion, three hundred forty-five million, four hundred fifty-six thousand".