350024400144 has 160 divisors (see below), whose sum is σ = 1009741920000. Its totient is φ = 116090827776.

The previous prime is 350024400097. The next prime is 350024400179. The reversal of 350024400144 is 441004420053.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 75287932 + ... + 75292580.

It is an arithmetic number, because the mean of its divisors is an integer number (6310887000).

Almost surely, 2^350024400144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350024400144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504870960000).

350024400144 is an abundant number, since it is smaller than the sum of its proper divisors (659717519856).

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

350024400144 is a wasteful number, since it uses less digits than its factorization.

350024400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502 (or 5490 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 350024400144 its reverse (441004420053), we get a palindrome (791028820197).

The spelling of 350024400144 in words is "three hundred fifty billion, twenty-four million, four hundred thousand, one hundred forty-four".