1030866359040 has 2304 divisors, whose sum is σ = 4709376000000. Its totient is φ = 212446789632.

The previous prime is 1030866359023. The next prime is 1030866359057. The reversal of 1030866359040 is 409536680301.

1030866359040 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 8 + 6 + 635 + 9 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1030866359023) and next prime (1030866359057).

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5180232861 + ... + 5180233059.

It is an arithmetic number, because the mean of its divisors is an integer number (2044000000).

Almost surely, 2^{1030866359040} is an apocalyptic number.

1030866359040 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 1030866359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354688000000).

1030866359040 is an abundant number, since it is smaller than the sum of its proper divisors (3678509640960).

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

1030866359040 is a wasteful number, since it uses less digits than its factorization.

1030866359040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1030866359040 in words is "one trillion, thirty billion, eight hundred sixty-six million, three hundred fifty-nine thousand, forty".