14153205550400 has 252 divisors, whose sum is σ = 40999675102848. Its totient is φ = 4794061224960.

The previous prime is 14153205550349. The next prime is 14153205550411. The reversal of 14153205550400 is 405550235141.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5419697 + ... + 7594703.

It is an arithmetic number, because the mean of its divisors is an integer number (162697123424).

Almost surely, 2^{14153205550400} is an apocalyptic number.

14153205550400 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 14153205550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20499837551424).

14153205550400 is an abundant number, since it is smaller than the sum of its proper divisors (26846469552448).

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

14153205550400 is a wasteful number, since it uses less digits than its factorization.

14153205550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175126 (or 2175104 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

Adding to 14153205550400 its reverse (405550235141), we get a palindrome (14558755785541).

The spelling of 14153205550400 in words is "fourteen trillion, one hundred fifty-three billion, two hundred five million, five hundred fifty thousand, four hundred".