18133929019440 has 640 divisors, whose sum is σ = 69475446620160. Its totient is φ = 4317284966400.

The previous prime is 18133929019439. The next prime is 18133929019463. The reversal of 18133929019440 is 4491092933181.

18133929019440 is a `hidden beast` number, since 1 + 8 + 1 + 339 + 290 + 19 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1865433780 + ... + 1865443500.

It is an arithmetic number, because the mean of its divisors is an integer number (108555385344).

Almost surely, 2^{18133929019440} is an apocalyptic number.

18133929019440 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 18133929019440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34737723310080).

18133929019440 is an abundant number, since it is smaller than the sum of its proper divisors (51341517600720).

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

18133929019440 is a wasteful number, since it uses less digits than its factorization.

18133929019440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11930 (or 11918 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 18133929019440 in words is "eighteen trillion, one hundred thirty-three billion, nine hundred twenty-nine million, nineteen thousand, four hundred forty".