14001430133040 has 160 divisors (see below), whose sum is σ = 49623543889920. Its totient is φ = 3199134815232.

The previous prime is 14001430133023. The next prime is 14001430133077. The reversal of 14001430133040 is 4033103410041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14001430133040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2963326 + ... + 6064994.

It is an arithmetic number, because the mean of its divisors is an integer number (310147149312).

Almost surely, 2^{14001430133040} is an apocalyptic number.

14001430133040 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 14001430133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24811771944960).

14001430133040 is an abundant number, since it is smaller than the sum of its proper divisors (35622113756880).

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

14001430133040 is a wasteful number, since it uses less digits than its factorization.

14001430133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104379 (or 3104373 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14001430133040 its reverse (4033103410041), we get a palindrome (18034533543081).

The spelling of 14001430133040 in words is "fourteen trillion, one billion, four hundred thirty million, one hundred thirty-three thousand, forty".