14240993771520 has 968 divisors, whose sum is σ = 53496287945136. Its totient is φ = 3632485367808.

The previous prime is 14240993771471. The next prime is 14240993771549. The reversal of 14240993771520 is 2517739904241.

14240993771520 is a `hidden beast` number, since 1 + 4 + 2 + 40 + 9 + 9 + 3 + 7 + 71 + 520 = 666.

It is a super-2 number, since 2×14240993771520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 619173642229 + ... + 619173642251.

Almost surely, 2^{14240993771520} is an apocalyptic number.

14240993771520 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 14240993771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26748143972568).

14240993771520 is an abundant number, since it is smaller than the sum of its proper divisors (39255294173616).

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

14240993771520 is an frugal number, since it uses more digits than its factorization.

14240993771520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 14240993771520 in words is "fourteen trillion, two hundred forty billion, nine hundred ninety-three million, seven hundred seventy-one thousand, five hundred twenty".