144869990400 has 1008 divisors, whose sum is σ = 559034094528. Its totient is φ = 37158912000.

The previous prime is 144869990333. The next prime is 144869990401. The reversal of 144869990400 is 4099968441.

It is a happy number.

144869990400 is a `hidden beast` number, since 144 + 8 + 6 + 9 + 9 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (144869990401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2040422365 + ... + 2040422435.

It is an arithmetic number, because the mean of its divisors is an integer number (554597316).

Almost surely, 2^144869990400 is an apocalyptic number.

144869990400 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 144869990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279517047264).

144869990400 is an abundant number, since it is smaller than the sum of its proper divisors (414164104128).

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

144869990400 is an frugal number, since it uses more digits than its factorization.

144869990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 144869990400 in words is "one hundred forty-four billion, eight hundred sixty-nine million, nine hundred ninety thousand, four hundred".