1401505200000 has 384 divisors, whose sum is σ = 5170192524000. Its totient is φ = 373731840000.

The previous prime is 1401505199921. The next prime is 1401505200037. The reversal of 1401505200000 is 25051041.

1401505200000 is a `hidden beast` number, since 140 + 1 + 5 + 0 + 520 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10735116 + ... + 10864884.

Almost surely, 2^{1401505200000} is an apocalyptic number.

1401505200000 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 1401505200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585096262000).

1401505200000 is an abundant number, since it is smaller than the sum of its proper divisors (3768687324000).

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

1401505200000 is an frugal number, since it uses more digits than its factorization.

1401505200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129817 (or 129779 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 1401505200000 in words is "one trillion, four hundred one billion, five hundred five million, two hundred thousand".