144215463260400 has 1440 divisors, whose sum is σ = 561887706885120. Its totient is φ = 31502210826240.

The previous prime is 144215463260377. The next prime is 144215463260411. The reversal of 144215463260400 is 4062364512441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21827673897 + ... + 21827680503.

It is an arithmetic number, because the mean of its divisors is an integer number (390199796448).

Almost surely, 2^{144215463260400} is an apocalyptic number.

144215463260400 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 144215463260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280943853442560).

144215463260400 is an abundant number, since it is smaller than the sum of its proper divisors (417672243624720).

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

144215463260400 is a wasteful number, since it uses less digits than its factorization.

144215463260400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6871 (or 6853 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 144215463260400 in words is "one hundred forty-four trillion, two hundred fifteen billion, four hundred sixty-three million, two hundred sixty thousand, four hundred".