4348970398080 has 2304 divisors, whose sum is σ = 19973964441600. Its totient is φ = 861157785600.

The previous prime is 4348970398051. The next prime is 4348970398121. The reversal of 4348970398080 is 808930798434.

4348970398080 is a `hidden beast` number, since 4 + 3 + 489 + 70 + 3 + 9 + 8 + 0 + 80 = 666.

4348970398080 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 2×4348970398080² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4348970397999 and 4348970398017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7025800011 + ... + 7025800629.

It is an arithmetic number, because the mean of its divisors is an integer number (8669255400).

Almost surely, 2^{4348970398080} is an apocalyptic number.

4348970398080 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 4348970398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9986982220800).

4348970398080 is an abundant number, since it is smaller than the sum of its proper divisors (15624994043520).

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

4348970398080 is a wasteful number, since it uses less digits than its factorization.

4348970398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 4348970398080 in words is "four trillion, three hundred forty-eight billion, nine hundred seventy million, three hundred ninety-eight thousand, eighty".