4340690985600 has 480 divisors, whose sum is σ = 16028448888540. Its totient is φ = 1156770201600.

The previous prime is 4340690985599. The next prime is 4340690985689. The reversal of 4340690985600 is 65890960434.

4340690985600 is a `hidden beast` number, since 4 + 3 + 406 + 90 + 98 + 5 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 701051194944 + 3639639790656 = 837288^2 + 1907784^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 485477130 + ... + 485486070.

Almost surely, 2^{4340690985600} is an apocalyptic number.

4340690985600 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 4340690985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8014224444270).

4340690985600 is an abundant number, since it is smaller than the sum of its proper divisors (11687757902940).

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

4340690985600 is a wasteful number, since it uses less digits than its factorization.

4340690985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10850 (or 10824 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 4340690985600 in words is "four trillion, three hundred forty billion, six hundred ninety million, nine hundred eighty-five thousand, six hundred".