144199440 has 600 divisors, whose sum is σ = 663296832. Its totient is φ = 28200960.

The previous prime is 144199439. The next prime is 144199459. The reversal of 144199440 is 44991441.

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

It is a junction number, because it is equal to n+sod(n) for n = 144199395 and 144199404.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8482312 + ... + 8482328.

Almost surely, 2^144199440 is an apocalyptic number.

144199440 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 144199440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331648416).

144199440 is an abundant number, since it is smaller than the sum of its proper divisors (519097392).

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

144199440 is a wasteful number, since it uses less digits than its factorization.

144199440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 144199440 is about 12008.3071246533. The cubic root of 144199440 is about 524.3901490015.

The spelling of 144199440 in words is "one hundred forty-four million, one hundred ninety-nine thousand, four hundred forty".