10273364317440 has 720 divisors, whose sum is σ = 42905403459072. Its totient is φ = 2298228277248.

The previous prime is 10273364317379. The next prime is 10273364317457. The reversal of 10273364317440 is 4471346337201.

10273364317440 is a `hidden beast` number, since 1 + 0 + 273 + 3 + 64 + 317 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33960132 + ... + 34261308.

Almost surely, 2^{10273364317440} is an apocalyptic number.

10273364317440 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 10273364317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21452701729536).

10273364317440 is an abundant number, since it is smaller than the sum of its proper divisors (32632039141632).

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

10273364317440 is an equidigital number, since it uses as much as digits as its factorization.

10273364317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301264 (or 301241 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 10273364317440 in words is "ten trillion, two hundred seventy-three billion, three hundred sixty-four million, three hundred seventeen thousand, four hundred forty".