1040981760 has 576 divisors, whose sum is σ = 4560245760. Its totient is φ = 218972160.

The previous prime is 1040981729. The next prime is 1040981783. The reversal of 1040981760 is 671890401.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a zygodrome in base 2.

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, 3144795 + ... + 3145125.

Almost surely, 2^1040981760 is an apocalyptic number.

1040981760 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 1040981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280122880).

1040981760 is an abundant number, since it is smaller than the sum of its proper divisors (3519264000).

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

1040981760 is a wasteful number, since it uses less digits than its factorization.

1040981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1040981760 is about 32264.2489452335. The cubic root of 1040981760 is about 1013.4781110471.

The spelling of 1040981760 in words is "one billion, forty million, nine hundred eighty-one thousand, seven hundred sixty".