144115553400 has 384 divisors, whose sum is σ = 550584760320. Its totient is φ = 30366535680.

The previous prime is 144115553353. The next prime is 144115553419. The reversal of 144115553400 is 4355511441.

144115553400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60222604 + ... + 60224996.

It is an arithmetic number, because the mean of its divisors is an integer number (1433814480).

Almost surely, 2^144115553400 is an apocalyptic number.

144115553400 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 144115553400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275292380160).

144115553400 is an abundant number, since it is smaller than the sum of its proper divisors (406469206920).

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

144115553400 is a wasteful number, since it uses less digits than its factorization.

144115553400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3526 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 144115553400 in words is "one hundred forty-four billion, one hundred fifteen million, five hundred fifty-three thousand, four hundred".