14201400269056 has 576 divisors, whose sum is σ = 40462016716800. Its totient is φ = 4790513664000.

The previous prime is 14201400269047. The next prime is 14201400269059. The reversal of 14201400269056 is 65096200410241.

It is a super-2 number, since 2×14201400269056² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14201400269059) 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, 491740825 + ... + 491769703.

It is an arithmetic number, because the mean of its divisors is an integer number (70246556800).

Almost surely, 2^{14201400269056} is an apocalyptic number.

14201400269056 is a gapful number since it is divisible by the number (16) 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 14201400269056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20231008358400).

14201400269056 is an abundant number, since it is smaller than the sum of its proper divisors (26260616447744).

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

14201400269056 is a wasteful number, since it uses less digits than its factorization.

14201400269056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29046 (or 29032 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

Adding to 14201400269056 its reverse (65096200410241), we get a palindrome (79297600679297).

The spelling of 14201400269056 in words is "fourteen trillion, two hundred one billion, four hundred million, two hundred sixty-nine thousand, fifty-six".