1046173663440 has 400 divisors, whose sum is σ = 3913721380800. Its totient is φ = 258148767744.

The previous prime is 1046173663417. The next prime is 1046173663441. The reversal of 1046173663440 is 443663716401.

1046173663440 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 1 + 7 + 3 + 6 + 634 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1046173663441) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 5195356 + ... + 5392964.

It is an arithmetic number, because the mean of its divisors is an integer number (9784303452).

Almost surely, 2^{1046173663440} is an apocalyptic number.

1046173663440 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 1046173663440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956860690400).

1046173663440 is an abundant number, since it is smaller than the sum of its proper divisors (2867547717360).

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

1046173663440 is a wasteful number, since it uses less digits than its factorization.

1046173663440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197696 (or 197681 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 1046173663440 in words is "one trillion, forty-six billion, one hundred seventy-three million, six hundred sixty-three thousand, four hundred forty".