20329403661840 has 960 divisors, whose sum is σ = 80434331873280. Its totient is φ = 4156949422080.

The previous prime is 20329403661811. The next prime is 20329403661943. The reversal of 20329403661840 is 4816630492302.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20329403661840.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1189332334 + ... + 1189349426.

It is an arithmetic number, because the mean of its divisors is an integer number (83785762368).

Almost surely, 2^{20329403661840} is an apocalyptic number.

20329403661840 is a gapful number since it is divisible by the number (20) 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 20329403661840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40217165936640).

20329403661840 is an abundant number, since it is smaller than the sum of its proper divisors (60104928211440).

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

20329403661840 is a wasteful number, since it uses less digits than its factorization.

20329403661840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17272 (or 17253 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 20329403661840 in words is "twenty trillion, three hundred twenty-nine billion, four hundred three million, six hundred sixty-one thousand, eight hundred forty".