144400451104 has 96 divisors (see below), whose sum is σ = 350000179200. Its totient is φ = 57108022272.

The previous prime is 144400451101. The next prime is 144400451123. The reversal of 144400451104 is 401154004441.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (144400451101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13969522 + ... + 13979854.

It is an arithmetic number, because the mean of its divisors is an integer number (3645835200).

Almost surely, 2^144400451104 is an apocalyptic number.

144400451104 is a gapful number since it is divisible by the number (14) 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 144400451104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175000089600).

144400451104 is an abundant number, since it is smaller than the sum of its proper divisors (205599728096).

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

144400451104 is a wasteful number, since it uses less digits than its factorization.

144400451104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15162 (or 15154 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

Adding to 144400451104 its reverse (401154004441), we get a palindrome (545554455545).

The spelling of 144400451104 in words is "one hundred forty-four billion, four hundred million, four hundred fifty-one thousand, one hundred four".