1504000404114 has 128 divisors (see below), whose sum is σ = 3560654039040. Its totient is φ = 419054777856.

The previous prime is 1504000404097. The next prime is 1504000404149. The reversal of 1504000404114 is 4114040004051.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50534662 + ... + 50564414.

It is an arithmetic number, because the mean of its divisors is an integer number (27817609680).

Almost surely, 2^{1504000404114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1504000404114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1780327019520).

1504000404114 is an abundant number, since it is smaller than the sum of its proper divisors (2056653634926).

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

1504000404114 is a wasteful number, since it uses less digits than its factorization.

1504000404114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31296.

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 1504000404114 its reverse (4114040004051), we get a palindrome (5618040408165).

The spelling of 1504000404114 in words is "one trillion, five hundred four billion, four hundred four thousand, one hundred fourteen".