1010659019040 has 1920 divisors, whose sum is σ = 4286029676544. Its totient is φ = 221709312000.

The previous prime is 1010659019023. The next prime is 1010659019077. The reversal of 1010659019040 is 409109560101.

1010659019040 is a `hidden beast` number, since 1 + 0 + 10 + 6 + 590 + 19 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1010659018986 and 1010659019004.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6200361999 + ... + 6200362161.

Almost surely, 2^{1010659019040} is an apocalyptic number.

1010659019040 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 1010659019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143014838272).

1010659019040 is an abundant number, since it is smaller than the sum of its proper divisors (3275370657504).

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

1010659019040 is a wasteful number, since it uses less digits than its factorization.

1010659019040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 1010659019040 in words is "one trillion, ten billion, six hundred fifty-nine million, nineteen thousand, forty".