14030157704640 has 448 divisors, whose sum is σ = 55606445982720. Its totient is φ = 2911741378560.

The previous prime is 14030157704609. The next prime is 14030157704677. The reversal of 14030157704640 is 4640775103041.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×14030157704640³ (a number of 40 digits) contains 333 as substring.

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 = 14030157704592 and 14030157704601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59683974 + ... + 59918586.

Almost surely, 2^{14030157704640} is an apocalyptic number.

14030157704640 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 14030157704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27803222991360).

14030157704640 is an abundant number, since it is smaller than the sum of its proper divisors (41576288278080).

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

14030157704640 is a wasteful number, since it uses less digits than its factorization.

14030157704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235460 (or 235450 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 14030157704640 in words is "fourteen trillion, thirty billion, one hundred fifty-seven million, seven hundred four thousand, six hundred forty".