140221401410000 has 400 divisors, whose sum is σ = 375876820915200. Its totient is φ = 50387960832000.

The previous prime is 140221401409919. The next prime is 140221401410003. The reversal of 140221401410000 is 14104122041.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140221401410003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1872852566 + ... + 1872927434.

It is an arithmetic number, because the mean of its divisors is an integer number (939692052288).

Almost surely, 2^{140221401410000} is an apocalyptic number.

140221401410000 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 140221401410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187938410457600).

140221401410000 is an abundant number, since it is smaller than the sum of its proper divisors (235655419505200).

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

140221401410000 is a wasteful number, since it uses less digits than its factorization.

140221401410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75416 (or 75395 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 140221401410000 its reverse (14104122041), we get a palindrome (140235505532041).

The spelling of 140221401410000 in words is "one hundred forty trillion, two hundred twenty-one billion, four hundred one million, four hundred ten thousand".