1042017419520 has 2304 divisors, whose sum is σ = 4992880435200. Its totient is φ = 199224852480.

The previous prime is 1042017419447. The next prime is 1042017419579. The reversal of 1042017419520 is 259147102401.

1042017419520 is a `hidden beast` number, since 1 + 0 + 420 + 174 + 19 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1870767082 + ... + 1870767638.

It is an arithmetic number, because the mean of its divisors is an integer number (2167048800).

Almost surely, 2^{1042017419520} is an apocalyptic number.

1042017419520 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 1042017419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496440217600).

1042017419520 is an abundant number, since it is smaller than the sum of its proper divisors (3950863015680).

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

1042017419520 is a wasteful number, since it uses less digits than its factorization.

1042017419520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1042017419520 in words is "one trillion, forty-two billion, seventeen million, four hundred nineteen thousand, five hundred twenty".