1824913681920 has 480 divisors, whose sum is σ = 7248778048512. Its totient is φ = 415638798336.

The previous prime is 1824913681873. The next prime is 1824913681949. The reversal of 1824913681920 is 291863194281.

It is a happy number.

1824913681920 is a `hidden beast` number, since 1 + 8 + 2 + 4 + 91 + 368 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45622249 + ... + 45662231.

Almost surely, 2^{1824913681920} is an apocalyptic number.

1824913681920 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 1824913681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624389024256).

1824913681920 is an abundant number, since it is smaller than the sum of its proper divisors (5423864366592).

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

1824913681920 is a wasteful number, since it uses less digits than its factorization.

1824913681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40302 (or 40283 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1824913681920 in words is "one trillion, eight hundred twenty-four billion, nine hundred thirteen million, six hundred eighty-one thousand, nine hundred twenty".