4375341210240 has 3456 divisors, whose sum is σ = 21510758131200. Its totient is φ = 809135308800.

The previous prime is 4375341210203. The next prime is 4375341210347. The reversal of 4375341210240 is 420121435734.

4375341210240 is a `hidden beast` number, since 4 + 3 + 7 + 534 + 12 + 102 + 4 + 0 = 666.

4375341210240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4375341210240² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4375341210195 and 4375341210204.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 16265208826 + ... + 16265209094.

It is an arithmetic number, because the mean of its divisors is an integer number (6224177700).

Almost surely, 2^{4375341210240} is an apocalyptic number.

4375341210240 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 4375341210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10755379065600).

4375341210240 is an abundant number, since it is smaller than the sum of its proper divisors (17135416920960).

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

4375341210240 is a wasteful number, since it uses less digits than its factorization.

4375341210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 4375341210240 its reverse (420121435734), we get a palindrome (4795462645974).

The spelling of 4375341210240 in words is "four trillion, three hundred seventy-five billion, three hundred forty-one million, two hundred ten thousand, two hundred forty".