1006613662040 has 96 divisors (see below), whose sum is σ = 2635677364320. Its totient is φ = 344991048192.

The previous prime is 1006613661953. The next prime is 1006613662051. The reversal of 1006613662040 is 402663166001.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5031197 + ... + 5227443.

It is an arithmetic number, because the mean of its divisors is an integer number (27454972545).

Almost surely, 2^{1006613662040} is an apocalyptic number.

1006613662040 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 1006613662040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317838682160).

1006613662040 is an abundant number, since it is smaller than the sum of its proper divisors (1629063702280).

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

1006613662040 is a wasteful number, since it uses less digits than its factorization.

1006613662040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198889 (or 198878 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 1006613662040 in words is "one trillion, six billion, six hundred thirteen million, six hundred sixty-two thousand, forty".