1401421824000 has 1104 divisors, whose sum is σ = 5716063918656. Its totient is φ = 339738624000.

The previous prime is 1401421823969. The next prime is 1401421824001. The reversal of 1401421824000 is 4281241041.

1401421824000 is a `hidden beast` number, since 1 + 40 + 1 + 4 + 218 + 2 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401421824001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127401983995 + ... + 127401984005.

Almost surely, 2^{1401421824000} is an apocalyptic number.

1401421824000 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 1401421824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858031959328).

1401421824000 is an abundant number, since it is smaller than the sum of its proper divisors (4314642094656).

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

1401421824000 is an frugal number, since it uses more digits than its factorization.

1401421824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 1401421824000 in words is "one trillion, four hundred one billion, four hundred twenty-one million, eight hundred twenty-four thousand".