1401001311440 has 80 divisors (see below), whose sum is σ = 3289508946048. Its totient is φ = 554865873408.

The previous prime is 1401001311439. The next prime is 1401001311443. The reversal of 1401001311440 is 441131001041.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401001311443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68521859 + ... + 68542301.

Almost surely, 2^{1401001311440} is an apocalyptic number.

1401001311440 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 1401001311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644754473024).

1401001311440 is an abundant number, since it is smaller than the sum of its proper divisors (1888507634608).

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

1401001311440 is a wasteful number, since it uses less digits than its factorization.

1401001311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28876 (or 28870 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 1401001311440 its reverse (441131001041), we get a palindrome (1842132312481).

The spelling of 1401001311440 in words is "one trillion, four hundred one billion, one million, three hundred eleven thousand, four hundred forty".