1004145311403 has 128 divisors (see below), whose sum is σ = 1730382393600. Its totient is φ = 569925697536.

The previous prime is 1004145311371. The next prime is 1004145311441. The reversal of 1004145311403 is 3041135414001.

1004145311403 is a `hidden beast` number, since 100 + 4 + 14 + 531 + 14 + 0 + 3 = 666.

It is not a de Polignac number, because 1004145311403 - 2⁵ = 1004145311371 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1004145311483) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 384876163 + ... + 384878771.

It is an arithmetic number, because the mean of its divisors is an integer number (13518612450).

Almost surely, 2^{1004145311403} is an apocalyptic number.

1004145311403 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1004145311403 is a deficient number, since it is larger than the sum of its proper divisors (726237082197).

1004145311403 is a wasteful number, since it uses less digits than its factorization.

1004145311403 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 1004145311403 in words is "one trillion, four billion, one hundred forty-five million, three hundred eleven thousand, four hundred three".