14003434663680 has 576 divisors, whose sum is σ = 55793522147328. Its totient is φ = 2908010004480.

The previous prime is 14003434663633. The next prime is 14003434663697. The reversal of 14003434663680 is 8636643430041.

It is a super-2 number, since 2×14003434663680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 509442897 + ... + 509470383.

It is an arithmetic number, because the mean of its divisors is an integer number (96863753728).

Almost surely, 2^{14003434663680} is an apocalyptic number.

14003434663680 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 14003434663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27896761073664).

14003434663680 is an abundant number, since it is smaller than the sum of its proper divisors (41790087483648).

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

14003434663680 is a wasteful number, since it uses less digits than its factorization.

14003434663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29252 (or 29238 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 48.

The spelling of 14003434663680 in words is "fourteen trillion, three billion, four hundred thirty-four million, six hundred sixty-three thousand, six hundred eighty".