1401411440000 has 320 divisors, whose sum is σ = 4098676816080. Its totient is φ = 470400000000.

The previous prime is 1401411439997. The next prime is 1401411440029. The reversal of 1401411440000 is 441141041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11378750 + ... + 11501250.

Almost surely, 2^{1401411440000} is an apocalyptic number.

1401411440000 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 1401411440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049338408040).

1401411440000 is an abundant number, since it is smaller than the sum of its proper divisors (2697265376080).

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

1401411440000 is a wasteful number, since it uses less digits than its factorization.

1401411440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122559 (or 122532 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1401411440000 its reverse (441141041), we get a palindrome (1401852581041).

It can be divided in two parts, 14014 and 11440000, that multiplied together give a square (160320160000 = 400400²).

The spelling of 1401411440000 in words is "one trillion, four hundred one billion, four hundred eleven million, four hundred forty thousand".