430401201000144 has 160 divisors (see below), whose sum is σ = 1214574595584000. Its totient is φ = 130249845434880.

The previous prime is 430401201000137. The next prime is 430401201000161. The reversal of 430401201000144 is 441000102104034.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2791853337 + ... + 2792007495.

It is an arithmetic number, because the mean of its divisors is an integer number (7591091222400).

Almost surely, 2^{430401201000144} is an apocalyptic number.

430401201000144 is a gapful number since it is divisible by the number (44) 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 430401201000144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607287297792000).

430401201000144 is an abundant number, since it is smaller than the sum of its proper divisors (784173394583856).

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

430401201000144 is a wasteful number, since it uses less digits than its factorization.

430401201000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161233 (or 161227 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 430401201000144 its reverse (441000102104034), we get a palindrome (871401303104178).

The spelling of 430401201000144 in words is "four hundred thirty trillion, four hundred one billion, two hundred one million, one hundred forty-four", and thus it is an aban number.