1016348963040 has 288 divisors, whose sum is σ = 3676907890656. Its totient is φ = 254764154880.

The previous prime is 1016348963033. The next prime is 1016348963111. The reversal of 1016348963040 is 403698436101.

1016348963040 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 3 + 4 + 8 + 9 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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, 19827684 + ... + 19878876.

It is an arithmetic number, because the mean of its divisors is an integer number (12767041287).

Almost surely, 2^{1016348963040} is an apocalyptic number.

1016348963040 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 1016348963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838453945328).

1016348963040 is an abundant number, since it is smaller than the sum of its proper divisors (2660558927616).

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

1016348963040 is a wasteful number, since it uses less digits than its factorization.

1016348963040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52042 (or 52031 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1016348963040 in words is "one trillion, sixteen billion, three hundred forty-eight million, nine hundred sixty-three thousand, forty".