263424422701440 has 6912 divisors, whose sum is σ = 1300446792328320. Its totient is φ = 48641015808000.

The previous prime is 263424422701439. The next prime is 263424422701471. The reversal of 263424422701440 is 44107224424362.

263424422701440 is a `hidden beast` number, since 2 + 6 + 3 + 42 + 442 + 27 + 0 + 144 + 0 = 666.

263424422701440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 863 ways as a sum of consecutive naturals, for example, 1922806005052 + ... + 1922806005188.

Almost surely, 2^{263424422701440} is an apocalyptic number.

263424422701440 is a gapful number since it is divisible by the number (20) 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 263424422701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650223396164160).

263424422701440 is an abundant number, since it is smaller than the sum of its proper divisors (1037022369626880).

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

263424422701440 is a wasteful number, since it uses less digits than its factorization.

263424422701440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 45.

The spelling of 263424422701440 in words is "two hundred sixty-three trillion, four hundred twenty-four billion, four hundred twenty-two million, seven hundred one thousand, four hundred forty".