1042706167272 has 512 divisors, whose sum is σ = 3675164774400. Its totient is φ = 266051174400.

The previous prime is 1042706167201. The next prime is 1042706167277. The reversal of 1042706167272 is 2727616072401.

1042706167272 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 7 + 0 + 616 + 7 + 27 + 2 = 666.

1042706167272 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1042706167277) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 482509872 + ... + 482512032.

It is an arithmetic number, because the mean of its divisors is an integer number (7178056200).

Almost surely, 2^{1042706167272} is an apocalyptic number.

1042706167272 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 1042706167272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837582387200).

1042706167272 is an abundant number, since it is smaller than the sum of its proper divisors (2632458607128).

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

1042706167272 is a wasteful number, since it uses less digits than its factorization.

1042706167272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 1042706167272 in words is "one trillion, forty-two billion, seven hundred six million, one hundred sixty-seven thousand, two hundred seventy-two".