1004123014020 has 480 divisors, whose sum is σ = 3724457780736. Its totient is φ = 221688576000.

The previous prime is 1004123014007. The next prime is 1004123014031. The reversal of 1004123014020 is 204103214001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1004123013984 and 1004123014002.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 46948249 + ... + 46969631.

Almost surely, 2^{1004123014020} is an apocalyptic number.

1004123014020 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 1004123014020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862228890368).

1004123014020 is an abundant number, since it is smaller than the sum of its proper divisors (2720334766716).

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

1004123014020 is a wasteful number, since it uses less digits than its factorization.

1004123014020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21553 (or 21542 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1004123014020 its reverse (204103214001), we get a palindrome (1208226228021).

The spelling of 1004123014020 in words is "one trillion, four billion, one hundred twenty-three million, fourteen thousand, twenty".