1504153173040 has 160 divisors (see below), whose sum is σ = 4021507178496. Its totient is φ = 512524938240.

The previous prime is 1504153173031. The next prime is 1504153173041. The reversal of 1504153173040 is 403713514051.

It is a junction number, because it is equal to n+sod(n) for n = 1504153172987 and 1504153173005.

It is not an unprimeable number, because it can be changed into a prime (1504153173041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60685450 + ... + 60710230.

Almost surely, 2^{1504153173040} is an apocalyptic number.

1504153173040 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 1504153173040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010753589248).

1504153173040 is an abundant number, since it is smaller than the sum of its proper divisors (2517354005456).

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

1504153173040 is a wasteful number, since it uses less digits than its factorization.

1504153173040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25467 (or 25461 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

Adding to 1504153173040 its reverse (403713514051), we get a palindrome (1907866687091).

The spelling of 1504153173040 in words is "one trillion, five hundred four billion, one hundred fifty-three million, one hundred seventy-three thousand, forty".