1005648272040 has 128 divisors (see below), whose sum is σ = 3115182136320. Its totient is φ = 259445760000.

The previous prime is 1005648272021. The next prime is 1005648272051. The reversal of 1005648272040 is 402728465001.

1005648272040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1005648272040³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1005648272040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13194040 + ... + 13270040.

It is an arithmetic number, because the mean of its divisors is an integer number (24337360440).

Almost surely, 2^{1005648272040} is an apocalyptic number.

1005648272040 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 1005648272040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557591068160).

1005648272040 is an abundant number, since it is smaller than the sum of its proper divisors (2109533864280).

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

1005648272040 is a wasteful number, since it uses less digits than its factorization.

1005648272040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79603 (or 79599 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 1005648272040 in words is "one trillion, five billion, six hundred forty-eight million, two hundred seventy-two thousand, forty".