1042747940416 has 448 divisors, whose sum is σ = 2721758986240. Its totient is φ = 385281515520.

The previous prime is 1042747940413. The next prime is 1042747940419. The reversal of 1042747940416 is 6140497472401.

1042747940416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1042747940413) and next prime (1042747940419).

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 1042747940416.

It is not an unprimeable number, because it can be changed into a prime (1042747940413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 928537231 + ... + 928538353.

It is an arithmetic number, because the mean of its divisors is an integer number (6075354880).

Almost surely, 2^{1042747940416} is an apocalyptic number.

1042747940416 is a gapful number since it is divisible by the number (16) 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 1042747940416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360879493120).

1042747940416 is an abundant number, since it is smaller than the sum of its proper divisors (1679011045824).

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

1042747940416 is a wasteful number, since it uses less digits than its factorization.

1042747940416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 49.

The spelling of 1042747940416 in words is "one trillion, forty-two billion, seven hundred forty-seven million, nine hundred forty thousand, four hundred sixteen".