1401544144000 has 512 divisors, whose sum is σ = 4678662643200. Its totient is φ = 403236864000.

The previous prime is 1401544143991. The next prime is 1401544144019. The reversal of 1401544144000 is 4414451041.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1401544144000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15972246 + ... + 16059754.

It is an arithmetic number, because the mean of its divisors is an integer number (9138012975).

Almost surely, 2^{1401544144000} is an apocalyptic number.

1401544144000 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 1401544144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339331321600).

1401544144000 is an abundant number, since it is smaller than the sum of its proper divisors (3277118499200).

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

1401544144000 is a wasteful number, since it uses less digits than its factorization.

1401544144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87569 (or 87547 counting only the distinct ones).

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

Adding to 1401544144000 its reverse (4414451041), we get a palindrome (1405958595041).

The spelling of 1401544144000 in words is "one trillion, four hundred one billion, five hundred forty-four million, one hundred forty-four thousand".