4340250929664 has 640 divisors, whose sum is σ = 14769854668800. Its totient is φ = 1247285329920.

The previous prime is 4340250929639. The next prime is 4340250929681. The reversal of 4340250929664 is 4669290520434.

4340250929664 is a `hidden beast` number, since 4 + 3 + 40 + 2 + 509 + 2 + 96 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4340250929664.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 242422537 + ... + 242440439.

It is an arithmetic number, because the mean of its divisors is an integer number (23077897920).

Almost surely, 2^{4340250929664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4340250929664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384927334400).

4340250929664 is an abundant number, since it is smaller than the sum of its proper divisors (10429603739136).

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

4340250929664 is a wasteful number, since it uses less digits than its factorization.

4340250929664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18033 (or 18011 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 4340250929664 in words is "four trillion, three hundred forty billion, two hundred fifty million, nine hundred twenty-nine thousand, six hundred sixty-four".