140414304314000 has 160 divisors (see below), whose sum is σ = 340361217321216. Its totient is φ = 56026901145600.

The previous prime is 140414304313951. The next prime is 140414304314029. The reversal of 140414304314000 is 413403414041.

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, 8475533717 + ... + 8475550283.

Almost surely, 2^{140414304314000} is an apocalyptic number.

140414304314000 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 140414304314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170180608660608).

140414304314000 is an abundant number, since it is smaller than the sum of its proper divisors (199946913007216).

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

140414304314000 is a wasteful number, since it uses less digits than its factorization.

140414304314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26810 (or 26794 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 140414304314000 its reverse (413403414041), we get a palindrome (140827707728041).

The spelling of 140414304314000 in words is "one hundred forty trillion, four hundred fourteen billion, three hundred four million, three hundred fourteen thousand".