14420212310400 has 192 divisors, whose sum is σ = 51150157378320. Its totient is φ = 3549590691840.

The previous prime is 14420212310393. The next prime is 14420212310429. The reversal of 14420212310400 is 401321202441.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57648487 + ... + 57898086.

Almost surely, 2^{14420212310400} is an apocalyptic number.

14420212310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14420212310400 is an abundant number, since it is smaller than the sum of its proper divisors (36729945067920).

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

14420212310400 is a wasteful number, since it uses less digits than its factorization.

14420212310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115546613 (or 115546596 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14420212310400 its reverse (401321202441), we get a palindrome (14821533512841).

The spelling of 14420212310400 in words is "fourteen trillion, four hundred twenty billion, two hundred twelve million, three hundred ten thousand, four hundred".