1032446418816 has 64 divisors (see below), whose sum is σ = 2743903468800. Its totient is φ = 343964628480.

The previous prime is 1032446418769. The next prime is 1032446418833. The reversal of 1032446418816 is 6188146442301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46 + ... + 1436973.

It is an arithmetic number, because the mean of its divisors is an integer number (42873491700).

Almost surely, 2^{1032446418816} is an apocalyptic number.

1032446418816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1032446418816 is an abundant number, since it is smaller than the sum of its proper divisors (1711457049984).

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

1032446418816 is a wasteful number, since it uses less digits than its factorization.

1032446418816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438907 (or 1438895 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 1032446418816 in words is "one trillion, thirty-two billion, four hundred forty-six million, four hundred eighteen thousand, eight hundred sixteen".