1401090048000 has 1280 divisors, whose sum is σ = 5403384866880. Its totient is φ = 360972288000.

The previous prime is 1401090047989. The next prime is 1401090048073. The reversal of 1401090048000 is 8400901041.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13602815949 + ... + 13602816051.

Almost surely, 2^{1401090048000} is an apocalyptic number.

1401090048000 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 1401090048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701692433440).

1401090048000 is an abundant number, since it is smaller than the sum of its proper divisors (4002294818880).

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

1401090048000 is an frugal number, since it uses more digits than its factorization.

1401090048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 1401090048000 its reverse (8400901041), we get a palindrome (1409490949041).

The spelling of 1401090048000 in words is "one trillion, four hundred one billion, ninety million, forty-eight thousand".