1868032333440 has 768 divisors, whose sum is σ = 8187534777600. Its totient is φ = 394129981440.

The previous prime is 1868032333439. The next prime is 1868032333463. The reversal of 1868032333440 is 443332308681.

1868032333440 is a `hidden beast` number, since 1 + 86 + 80 + 3 + 23 + 33 + 440 = 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, 20396550 + ... + 20487930.

It is an arithmetic number, because the mean of its divisors is an integer number (10660852575).

Almost surely, 2^{1868032333440} is an apocalyptic number.

1868032333440 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 1868032333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093767388800).

1868032333440 is an abundant number, since it is smaller than the sum of its proper divisors (6319502444160).

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

1868032333440 is a wasteful number, since it uses less digits than its factorization.

1868032333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91442 (or 91411 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 1868032333440 in words is "one trillion, eight hundred sixty-eight billion, thirty-two million, three hundred thirty-three thousand, four hundred forty".