1612816803840 has 384 divisors, whose sum is σ = 5638213526400. Its totient is φ = 390333726720.

The previous prime is 1612816803811. The next prime is 1612816803887. The reversal of 1612816803840 is 483086182161.

It is a tau number, because it is divible by the number of its divisors (384).

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 1612816803840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220658106 + ... + 220665414.

It is an arithmetic number, because the mean of its divisors is an integer number (14682847725).

Almost surely, 2^{1612816803840} is an apocalyptic number.

1612816803840 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 1612816803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819106763200).

1612816803840 is an abundant number, since it is smaller than the sum of its proper divisors (4025396722560).

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

1612816803840 is a wasteful number, since it uses less digits than its factorization.

1612816803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8003 (or 7983 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 1612816803840 in words is "one trillion, six hundred twelve billion, eight hundred sixteen million, eight hundred three thousand, eight hundred forty".