1042681248000 has 720 divisors, whose sum is σ = 4434523277184. Its totient is φ = 238322995200.

The previous prime is 1042681247917. The next prime is 1042681248017. The reversal of 1042681248000 is 8421862401.

1042681248000 is a `hidden beast` number, since 104 + 2 + 68 + 12 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18115267 + ... + 18172733.

Almost surely, 2^{1042681248000} is an apocalyptic number.

1042681248000 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 1042681248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2217261638592).

1042681248000 is an abundant number, since it is smaller than the sum of its proper divisors (3391842029184).

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

1042681248000 is an frugal number, since it uses more digits than its factorization.

1042681248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57517 (or 57484 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 1042681248000 in words is "one trillion, forty-two billion, six hundred eighty-one million, two hundred forty-eight thousand".