1040195520 has 784 divisors, whose sum is σ = 4664049600. Its totient is φ = 219469824.

The previous prime is 1040195503. The next prime is 1040195521. The reversal of 1040195520 is 255910401.

1040195520 is a `hidden beast` number, since 10 + 40 + 1 + 95 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (784).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040195521) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 80015034 + ... + 80015046.

Almost surely, 2^1040195520 is an apocalyptic number.

1040195520 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 1040195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332024800).

1040195520 is an abundant number, since it is smaller than the sum of its proper divisors (3623854080).

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

1040195520 is an frugal number, since it uses more digits than its factorization.

1040195520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1040195520 is about 32252.0622596447. The cubic root of 1040195520 is about 1013.2228911644. Note that the first 3 decimals are identical.

The spelling of 1040195520 in words is "one billion, forty million, one hundred ninety-five thousand, five hundred twenty".