1046642440104 has 192 divisors, whose sum is σ = 3172333507200. Its totient is φ = 310182732288.

The previous prime is 1046642440099. The next prime is 1046642440147. The reversal of 1046642440104 is 4010442466401.

1046642440104 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 642 + 4 + 4 + 0 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1353774 + ... + 1981410.

It is an arithmetic number, because the mean of its divisors is an integer number (16522570350).

Almost surely, 2^{1046642440104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1046642440104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586166753600).

1046642440104 is an abundant number, since it is smaller than the sum of its proper divisors (2125691067096).

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

1046642440104 is a wasteful number, since it uses less digits than its factorization.

1046642440104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627744 (or 627737 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 1046642440104 in words is "one trillion, forty-six billion, six hundred forty-two million, four hundred forty thousand, one hundred four".