1040660242272 has 720 divisors, whose sum is σ = 3620693260800. Its totient is φ = 292333805568.

The previous prime is 1040660242267. The next prime is 1040660242327. The reversal of 1040660242272 is 2722420660401.

1040660242272 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 6 + 602 + 42 + 2 + 7 + 2 = 666.

1040660242272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2403372168 + ... + 2403372600.

It is an arithmetic number, because the mean of its divisors is an integer number (5028740640).

Almost surely, 2^{1040660242272} is an apocalyptic number.

1040660242272 is a gapful number since it is divisible by the number (12) 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 1040660242272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810346630400).

1040660242272 is an abundant number, since it is smaller than the sum of its proper divisors (2580033018528).

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

1040660242272 is a wasteful number, since it uses less digits than its factorization.

1040660242272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 1040660242272 in words is "one trillion, forty billion, six hundred sixty million, two hundred forty-two thousand, two hundred seventy-two".