144131233450400 has 72 divisors (see below), whose sum is σ = 402126141342240. Its totient is φ = 49416422895360.

The previous prime is 144131233450297. The next prime is 144131233450409. The reversal of 144131233450400 is 4054332131441.

It is a super-4 number, since 4×144131233450400⁴ (a number of 58 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (144131233450409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12868854530 + ... + 12868865729.

It is an arithmetic number, because the mean of its divisors is an integer number (5585085296420).

Almost surely, 2^{144131233450400} is an apocalyptic number.

144131233450400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144131233450400 is an abundant number, since it is smaller than the sum of its proper divisors (257994907891840).

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

144131233450400 is a wasteful number, since it uses less digits than its factorization.

144131233450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25737720286 (or 25737720273 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 144131233450400 its reverse (4054332131441), we get a palindrome (148185565581841).

The spelling of 144131233450400 in words is "one hundred forty-four trillion, one hundred thirty-one billion, two hundred thirty-three million, four hundred fifty thousand, four hundred".