4352706685440 has 320 divisors, whose sum is σ = 15472572192000. Its totient is φ = 1159866335232.

The previous prime is 4352706685417. The next prime is 4352706685451. The reversal of 4352706685440 is 445866072534.

4352706685440 is a `hidden beast` number, since 4 + 3 + 52 + 70 + 6 + 6 + 85 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×4352706685440² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96676374 + ... + 96721386.

It is an arithmetic number, because the mean of its divisors is an integer number (48351788100).

Almost surely, 2^{4352706685440} is an apocalyptic number.

4352706685440 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 4352706685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7736286096000).

4352706685440 is an abundant number, since it is smaller than the sum of its proper divisors (11119865506560).

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

4352706685440 is a wasteful number, since it uses less digits than its factorization.

4352706685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46444 (or 46422 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 4352706685440 in words is "four trillion, three hundred fifty-two billion, seven hundred six million, six hundred eighty-five thousand, four hundred forty".