1824688361040 has 160 divisors (see below), whose sum is σ = 5683865959296. Its totient is φ = 484238131200.

The previous prime is 1824688360993. The next prime is 1824688361053. The reversal of 1824688361040 is 401638864281.

It is a super-2 number, since 2×1824688361040² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41650027 + ... + 41693813.

Almost surely, 2^{1824688361040} is an apocalyptic number.

1824688361040 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 1824688361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2841932979648).

1824688361040 is an abundant number, since it is smaller than the sum of its proper divisors (3859177598256).

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

1824688361040 is a wasteful number, since it uses less digits than its factorization.

1824688361040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44637 (or 44631 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 1824688361040 in words is "one trillion, eight hundred twenty-four billion, six hundred eighty-eight million, three hundred sixty-one thousand, forty".