144026700400 has 120 divisors (see below), whose sum is σ = 377791226064. Its totient is φ = 52330291200.

The previous prime is 144026700379. The next prime is 144026700401. The reversal of 144026700400 is 4007620441.

It is a super-2 number, since 2×144026700400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144026700401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5605984 + ... + 5631616.

Almost surely, 2^144026700400 is an apocalyptic number.

144026700400 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 144026700400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188895613032).

144026700400 is an abundant number, since it is smaller than the sum of its proper divisors (233764525664).

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

144026700400 is a wasteful number, since it uses less digits than its factorization.

144026700400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26939 (or 26928 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 144026700400 in words is "one hundred forty-four billion, twenty-six million, seven hundred thousand, four hundred".