14283010775040 has 1536 divisors, whose sum is σ = 56192635699200. Its totient is φ = 3026552094720.

The previous prime is 14283010774979. The next prime is 14283010775041. The reversal of 14283010775040 is 4057701038241.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14283010774983 and 14283010775001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14283010775041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50829219700 + ... + 50829219980.

It is an arithmetic number, because the mean of its divisors is an integer number (36583747200).

Almost surely, 2^{14283010775040} is an apocalyptic number.

14283010775040 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 14283010775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28096317849600).

14283010775040 is an abundant number, since it is smaller than the sum of its proper divisors (41909624924160).

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

14283010775040 is a wasteful number, since it uses less digits than its factorization.

14283010775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 14283010775040 in words is "fourteen trillion, two hundred eighty-three billion, ten million, seven hundred seventy-five thousand, forty".