1042771242240 has 2592 divisors, whose sum is σ = 4951664565120. Its totient is φ = 207681159168.

The previous prime is 1042771242223. The next prime is 1042771242299. The reversal of 1042771242240 is 422421772401.

1042771242240 is a `hidden beast` number, since 1 + 0 + 427 + 7 + 1 + 2 + 4 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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

It is a junction number, because it is equal to n+sod(n) for n = 1042771242195 and 1042771242204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3764516982 + ... + 3764517258.

Almost surely, 2^{1042771242240} is an apocalyptic number.

1042771242240 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 1042771242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475832282560).

1042771242240 is an abundant number, since it is smaller than the sum of its proper divisors (3908893322880).

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

1042771242240 is a wasteful number, since it uses less digits than its factorization.

1042771242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 1042771242240 in words is "one trillion, forty-two billion, seven hundred seventy-one million, two hundred forty-two thousand, two hundred forty".