1401140041120 has 96 divisors (see below), whose sum is σ = 3422174507136. Its totient is φ = 541696896000.

The previous prime is 1401140041069. The next prime is 1401140041127. The reversal of 1401140041120 is 211400411041.

It is not an unprimeable number, because it can be changed into a prime (1401140041127) 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, 110215 + ... + 1677625.

It is an arithmetic number, because the mean of its divisors is an integer number (35647651116).

Almost surely, 2^{1401140041120} is an apocalyptic number.

1401140041120 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 1401140041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711087253568).

1401140041120 is an abundant number, since it is smaller than the sum of its proper divisors (2021034466016).

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

1401140041120 is a wasteful number, since it uses less digits than its factorization.

1401140041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567614 (or 1567606 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 1401140041120 its reverse (211400411041), we get a palindrome (1612540452161).

The spelling of 1401140041120 in words is "one trillion, four hundred one billion, one hundred forty million, forty-one thousand, one hundred twenty".