1042193520 has 160 divisors (see below), whose sum is σ = 3611822400. Its totient is φ = 276212736.

The previous prime is 1042193507. The next prime is 1042193521. The reversal of 1042193520 is 253912401.

1042193520 is a `hidden beast` number, since 10 + 42 + 1 + 93 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042193521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372286 + ... + 375074.

It is an arithmetic number, because the mean of its divisors is an integer number (22573890).

Almost surely, 2^1042193520 is an apocalyptic number.

1042193520 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 1042193520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805911200).

1042193520 is an abundant number, since it is smaller than the sum of its proper divisors (2569628880).

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

1042193520 is a wasteful number, since it uses less digits than its factorization.

1042193520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2984 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1042193520 is about 32283.0221633601. The cubic root of 1042193520 is about 1013.8712066384.

The spelling of 1042193520 in words is "one billion, forty-two million, one hundred ninety-three thousand, five hundred twenty".