1868409034020 has 288 divisors, whose sum is σ = 6130386662400. Its totient is φ = 459010685952.

The previous prime is 1868409034003. The next prime is 1868409034031. The reversal of 1868409034020 is 204309048681.

It is a happy number.

1868409034020 is a `hidden beast` number, since 1 + 86 + 84 + 0 + 90 + 3 + 402 + 0 = 666.

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

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, 353929741 + ... + 353935019.

It is an arithmetic number, because the mean of its divisors is an integer number (21286064800).

Almost surely, 2^{1868409034020} is an apocalyptic number.

1868409034020 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 1868409034020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065193331200).

1868409034020 is an abundant number, since it is smaller than the sum of its proper divisors (4261977628380).

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

1868409034020 is a wasteful number, since it uses less digits than its factorization.

1868409034020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8147 (or 8142 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1868409034020 in words is "one trillion, eight hundred sixty-eight billion, four hundred nine million, thirty-four thousand, twenty".