10273468343040 has 1152 divisors, whose sum is σ = 44205342720000. Its totient is φ = 2206988550144.

The previous prime is 10273468343027. The next prime is 10273468343071. The reversal of 10273468343040 is 4034386437201.

10273468343040 is a `hidden beast` number, since 1 + 0 + 273 + 46 + 8 + 34 + 304 + 0 = 666.

10273468343040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 583744161 + ... + 583761759.

Almost surely, 2^{10273468343040} is an apocalyptic number.

10273468343040 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 10273468343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22102671360000).

10273468343040 is an abundant number, since it is smaller than the sum of its proper divisors (33931874376960).

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

10273468343040 is a wasteful number, since it uses less digits than its factorization.

10273468343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17782 (or 17762 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 10273468343040 in words is "ten trillion, two hundred seventy-three billion, four hundred sixty-eight million, three hundred forty-three thousand, forty".