1401113107044 has 144 divisors (see below), whose sum is σ = 4161086092800. Its totient is φ = 389121055488.

The previous prime is 1401113106997. The next prime is 1401113107049. The reversal of 1401113107044 is 4407013111041.

1401113107044 is a `hidden beast` number, since 1 + 401 + 113 + 107 + 0 + 44 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1401113106999 and 1401113107017.

It is not an unprimeable number, because it can be changed into a prime (1401113107049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9615322 + ... + 9759950.

It is an arithmetic number, because the mean of its divisors is an integer number (28896431200).

Almost surely, 2^{1401113107044} is an apocalyptic number.

1401113107044 is a gapful number since it is divisible by the number (14) 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 1401113107044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080543046400).

1401113107044 is an abundant number, since it is smaller than the sum of its proper divisors (2759972985756).

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

1401113107044 is a wasteful number, since it uses less digits than its factorization.

1401113107044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145722 (or 145717 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 1401113107044 its reverse (4407013111041), we get a palindrome (5808126218085).

The spelling of 1401113107044 in words is "one trillion, four hundred one billion, one hundred thirteen million, one hundred seven thousand, forty-four".