144628610400 has 360 divisors, whose sum is σ = 531259981560. Its totient is φ = 38287779840.

The previous prime is 144628610381. The next prime is 144628610453. The reversal of 144628610400 is 4016826441.

It is a happy number.

144628610400 is a `hidden beast` number, since 14 + 4 + 6 + 28 + 610 + 4 + 0 + 0 = 666.

144628610400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8999172 + ... + 9015228.

It is an arithmetic number, because the mean of its divisors is an integer number (1475722171).

Almost surely, 2^144628610400 is an apocalyptic number.

144628610400 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 144628610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265629990780).

144628610400 is an abundant number, since it is smaller than the sum of its proper divisors (386631371160).

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

144628610400 is a wasteful number, since it uses less digits than its factorization.

144628610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16228 (or 16206 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 144628610400 in words is "one hundred forty-four billion, six hundred twenty-eight million, six hundred ten thousand, four hundred".