1042936641648 has 1260 divisors, whose sum is σ = 3708619039440. Its totient is φ = 283172060160.

The previous prime is 1042936641641. The next prime is 1042936641811. The reversal of 1042936641648 is 8461466392401.

1042936641648 is a `hidden beast` number, since 1 + 0 + 42 + 93 + 66 + 416 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1042936641594 and 1042936641603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042936641641) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 11718389188 + ... + 11718389276.

It is an arithmetic number, because the mean of its divisors is an integer number (2943348444).

Almost surely, 2^{1042936641648} is an apocalyptic number.

1042936641648 is a gapful number since it is divisible by the number (18) 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 1042936641648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854309519720).

1042936641648 is an abundant number, since it is smaller than the sum of its proper divisors (2665682397792).

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

1042936641648 is a wasteful number, since it uses less digits than its factorization.

1042936641648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 1042936641648 in words is "one trillion, forty-two billion, nine hundred thirty-six million, six hundred forty-one thousand, six hundred forty-eight".