1504011445104 has 160 divisors (see below), whose sum is σ = 4469446080000. Its totient is φ = 426912648192.

The previous prime is 1504011445063. The next prime is 1504011445121. The reversal of 1504011445104 is 4015441104051.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 66688422 + ... + 66710970.

It is an arithmetic number, because the mean of its divisors is an integer number (27934038000).

Almost surely, 2^{1504011445104} is an apocalyptic number.

1504011445104 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 1504011445104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234723040000).

1504011445104 is an abundant number, since it is smaller than the sum of its proper divisors (2965434634896).

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

1504011445104 is a wasteful number, since it uses less digits than its factorization.

1504011445104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23855 (or 23849 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

Adding to 1504011445104 its reverse (4015441104051), we get a palindrome (5519452549155).

The spelling of 1504011445104 in words is "one trillion, five hundred four billion, eleven million, four hundred forty-five thousand, one hundred four".