144442434011400 has 1536 divisors, whose sum is σ = 603249389568000. Its totient is φ = 31063495680000.

The previous prime is 144442434011329. The next prime is 144442434011411. The reversal of 144442434011400 is 4110434244441.

144442434011400 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 4 + 243 + 4 + 0 + 1 + 1 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 61438720225 + ... + 61438722575.

It is an arithmetic number, because the mean of its divisors is an integer number (392740488000).

Almost surely, 2^{144442434011400} is an apocalyptic number.

144442434011400 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 144442434011400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301624694784000).

144442434011400 is an abundant number, since it is smaller than the sum of its proper divisors (458806955556600).

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

144442434011400 is a wasteful number, since it uses less digits than its factorization.

144442434011400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3820 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 144442434011400 its reverse (4110434244441), we get a palindrome (148552868255841).

The spelling of 144442434011400 in words is "one hundred forty-four trillion, four hundred forty-two billion, four hundred thirty-four million, eleven thousand, four hundred".