144295504080 has 640 divisors, whose sum is σ = 576965738496. Its totient is φ = 29013811200.

The previous prime is 144295504063. The next prime is 144295504103. The reversal of 144295504080 is 80405592441.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45360090 + ... + 45363270.

Almost surely, 2^144295504080 is an apocalyptic number.

144295504080 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 144295504080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288482869248).

144295504080 is an abundant number, since it is smaller than the sum of its proper divisors (432670234416).

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

144295504080 is a wasteful number, since it uses less digits than its factorization.

144295504080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 144295504080 in words is "one hundred forty-four billion, two hundred ninety-five million, five hundred four thousand, eighty".