3022401975840 has 720 divisors, whose sum is σ = 12229753741128. Its totient is φ = 700203958272.

The previous prime is 3022401975839. The next prime is 3022401975841. The reversal of 3022401975840 is 485791042203.

3022401975840 is a `hidden beast` number, since 3 + 0 + 22 + 40 + 1 + 9 + 7 + 584 + 0 = 666.

3022401975840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3022401975839) and next prime (3022401975841).

It can be written as a sum of positive squares in 12 ways, for example, as 7608723984 + 3014793251856 = 87228^2 + 1736316^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3022401975841) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37193494 + ... + 37274666.

Almost surely, 2^{3022401975840} is an apocalyptic number.

3022401975840 is a gapful number since it is divisible by the number (30) 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 3022401975840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114876870564).

3022401975840 is an abundant number, since it is smaller than the sum of its proper divisors (9207351765288).

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

3022401975840 is a wasteful number, since it uses less digits than its factorization.

3022401975840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81243 (or 81213 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 3022401975840 in words is "three trillion, twenty-two billion, four hundred one million, nine hundred seventy-five thousand, eight hundred forty".