4340972514816 has 160 divisors (see below), whose sum is σ = 14685234727680. Its totient is φ = 1240277833728.

The previous prime is 4340972514793. The next prime is 4340972514847. The reversal of 4340972514816 is 6184152790434.

4340972514816 is a `hidden beast` number, since 4 + 3 + 40 + 9 + 7 + 2 + 514 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22333026 + ... + 22526561.

It is an arithmetic number, because the mean of its divisors is an integer number (91782717048).

It is a 1-persistent number, because it is pandigital, but 2⋅4340972514816 = 8681945029632 is not.

Almost surely, 2^{4340972514816} is an apocalyptic number.

It is an amenable number.

4340972514816 is an abundant number, since it is smaller than the sum of its proper divisors (10344262212864).

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

4340972514816 is an equidigital number, since it uses as much as digits as its factorization.

4340972514816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44859621 (or 44859599 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4340972514816 in words is "four trillion, three hundred forty billion, nine hundred seventy-two million, five hundred fourteen thousand, eight hundred sixteen".