14211401123040 has 384 divisors, whose sum is σ = 51439582656000. Its totient is φ = 3261719715840.

The previous prime is 14211401123033. The next prime is 14211401123047. The reversal of 14211401123040 is 4032110411241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14211401123033) and next prime (14211401123047).

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 14211401123040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14211401123047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 155349954 + ... + 155441406.

It is an arithmetic number, because the mean of its divisors is an integer number (133957246500).

Almost surely, 2^{14211401123040} is an apocalyptic number.

14211401123040 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 14211401123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25719791328000).

14211401123040 is an abundant number, since it is smaller than the sum of its proper divisors (37228181532960).

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

14211401123040 is a wasteful number, since it uses less digits than its factorization.

14211401123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93050 (or 93042 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14211401123040 its reverse (4032110411241), we get a palindrome (18243511534281).

The spelling of 14211401123040 in words is "fourteen trillion, two hundred eleven billion, four hundred one million, one hundred twenty-three thousand, forty".