1403114313104 has 160 divisors (see below), whose sum is σ = 3262059786240. Its totient is φ = 571936780800.

The previous prime is 1403114313043. The next prime is 1403114313113. The reversal of 1403114313104 is 4013134113041.

It is a super-2 number, since 2×1403114313104² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 422241587 + ... + 422244909.

It is an arithmetic number, because the mean of its divisors is an integer number (20387873664).

Almost surely, 2^{1403114313104} is an apocalyptic number.

1403114313104 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 1403114313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631029893120).

1403114313104 is an abundant number, since it is smaller than the sum of its proper divisors (1858945473136).

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

1403114313104 is a wasteful number, since it uses less digits than its factorization.

1403114313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269 (or 5263 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 1403114313104 its reverse (4013134113041), we get a palindrome (5416248426145).

The spelling of 1403114313104 in words is "one trillion, four hundred three billion, one hundred fourteen million, three hundred thirteen thousand, one hundred four".