10348219203840 has 1440 divisors, whose sum is σ = 45682206958080. Its totient is φ = 2184349483008.

The previous prime is 10348219203761. The next prime is 10348219203859. The reversal of 10348219203840 is 4830291284301.

10348219203840 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 82 + 192 + 0 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×10348219203840³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 484071232 + ... + 484092608.

It is an arithmetic number, because the mean of its divisors is an integer number (31723754832).

Almost surely, 2^{10348219203840} is an apocalyptic number.

10348219203840 is a gapful number since it is divisible by the number (10) 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 10348219203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22841103479040).

10348219203840 is an abundant number, since it is smaller than the sum of its proper divisors (35333987754240).

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

10348219203840 is a wasteful number, since it uses less digits than its factorization.

10348219203840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21469 (or 21446 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 10348219203840 in words is "ten trillion, three hundred forty-eight billion, two hundred nineteen million, two hundred three thousand, eight hundred forty".