1401461980800 has 768 divisors, whose sum is σ = 5694878361600. Its totient is φ = 295831388160.

The previous prime is 1401461980769. The next prime is 1401461980819. The reversal of 1401461980800 is 80891641041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44806767 + ... + 44838033.

It is an arithmetic number, because the mean of its divisors is an integer number (7415206200).

Almost surely, 2^{1401461980800} is an apocalyptic number.

1401461980800 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 1401461980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847439180800).

1401461980800 is an abundant number, since it is smaller than the sum of its proper divisors (4293416380800).

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

1401461980800 is a wasteful number, since it uses less digits than its factorization.

1401461980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31353 (or 31336 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 1401461980800 in words is "one trillion, four hundred one billion, four hundred sixty-one million, nine hundred eighty thousand, eight hundred".