1042826133888 has 512 divisors, whose sum is σ = 3841440768000. Its totient is φ = 270567475200.

The previous prime is 1042826133859. The next prime is 1042826133949. The reversal of 1042826133888 is 8883316282401.

1042826133888 is a `hidden beast` number, since 1 + 0 + 42 + 8 + 261 + 338 + 8 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 351000243 + ... + 351003213.

It is an arithmetic number, because the mean of its divisors is an integer number (7502814000).

Almost surely, 2^{1042826133888} is an apocalyptic number.

1042826133888 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 1042826133888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920720384000).

1042826133888 is an abundant number, since it is smaller than the sum of its proper divisors (2798614634112).

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

1042826133888 is a wasteful number, since it uses less digits than its factorization.

1042826133888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4331 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 1042826133888 in words is "one trillion, forty-two billion, eight hundred twenty-six million, one hundred thirty-three thousand, eight hundred eighty-eight".