20819460409344 has 1152 divisors, whose sum is σ = 67999067136000. Its totient is φ = 6342516670464.

The previous prime is 20819460409301. The next prime is 20819460409403. The reversal of 20819460409344 is 44390406491802.

20819460409344 is a `hidden beast` number, since 2 + 0 + 8 + 19 + 460 + 40 + 93 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 35108701912 + ... + 35108702504.

It is an arithmetic number, because the mean of its divisors is an integer number (59026968000).

Almost surely, 2^{20819460409344} is an apocalyptic number.

20819460409344 is a gapful number since it is divisible by the number (24) 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 20819460409344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33999533568000).

20819460409344 is an abundant number, since it is smaller than the sum of its proper divisors (47179606726656).

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

20819460409344 is an equidigital number, since it uses as much as digits as its factorization.

20819460409344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 20819460409344 in words is "twenty trillion, eight hundred nineteen billion, four hundred sixty million, four hundred nine thousand, three hundred forty-four".