14540355012000 has 192 divisors, whose sum is σ = 47729682000000. Its totient is φ = 3869656012800.

The previous prime is 14540355011983. The next prime is 14540355012037. The reversal of 14540355012000 is 21055304541.

It is a super-3 number, since 3×14540355012000³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 4773876 + ... + 7202124.

It is an arithmetic number, because the mean of its divisors is an integer number (248592093750).

Almost surely, 2^{14540355012000} is an apocalyptic number.

14540355012000 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 14540355012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23864841000000).

14540355012000 is an abundant number, since it is smaller than the sum of its proper divisors (33189326988000).

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

14540355012000 is a wasteful number, since it uses less digits than its factorization.

14540355012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428776 (or 2428758 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 14540355012000 in words is "fourteen trillion, five hundred forty billion, three hundred fifty-five million, twelve thousand".