1401120024000 has 224 divisors, whose sum is σ = 4627711685376. Its totient is φ = 373534028800.

The previous prime is 1401120023923. The next prime is 1401120024001. The reversal of 1401120024000 is 4200211041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401120024001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172483939 + ... + 172492061.

Almost surely, 2^{1401120024000} is an apocalyptic number.

1401120024000 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 1401120024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313855842688).

1401120024000 is an abundant number, since it is smaller than the sum of its proper divisors (3226591661376).

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

1401120024000 is an equidigital number, since it uses as much as digits as its factorization.

1401120024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15340 (or 15320 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1401120024000 its reverse (4200211041), we get a palindrome (1405320235041).

The spelling of 1401120024000 in words is "one trillion, four hundred one billion, one hundred twenty million, twenty-four thousand".