1040757120 has 512 divisors, whose sum is σ = 4102358400. Its totient is φ = 247726080.

The previous prime is 1040757097. The next prime is 1040757209. The reversal of 1040757120 is 217570401.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9210184 + ... + 9210296.

Almost surely, 2^1040757120 is an apocalyptic number.

1040757120 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 1040757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051179200).

1040757120 is an abundant number, since it is smaller than the sum of its proper divisors (3061601280).

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

1040757120 is a wasteful number, since it uses less digits than its factorization.

1040757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 1040757120 is about 32260.7675048192. The cubic root of 1040757120 is about 1013.4052041976.

The spelling of 1040757120 in words is "one billion, forty million, seven hundred fifty-seven thousand, one hundred twenty".