144311013020400 has 480 divisors, whose sum is σ = 494422972428288. Its totient is φ = 35914320691200.

The previous prime is 144311013020387. The next prime is 144311013020423. The reversal of 144311013020400 is 4020310113441.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 155069277 + ... + 155997123.

Almost surely, 2^{144311013020400} is an apocalyptic number.

144311013020400 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 144311013020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247211486214144).

144311013020400 is an abundant number, since it is smaller than the sum of its proper divisors (350111959407888).

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

144311013020400 is a wasteful number, since it uses less digits than its factorization.

144311013020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928049 (or 928038 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 144311013020400 its reverse (4020310113441), we get a palindrome (148331323133841).

The spelling of 144311013020400 in words is "one hundred forty-four trillion, three hundred eleven billion, thirteen million, twenty thousand, four hundred".