1040179968 has 216 divisors, whose sum is σ = 3249861888. Its totient is φ = 331195392.

The previous prime is 1040179957. The next prime is 1040179979. The reversal of 1040179968 is 8699710401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1040179957) and next prime (1040179979).

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1430421 + ... + 1431147.

Almost surely, 2^1040179968 is an apocalyptic number.

1040179968 is a gapful number since it is divisible by the number (18) 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 1040179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624930944).

1040179968 is an abundant number, since it is smaller than the sum of its proper divisors (2209681920).

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

1040179968 is an frugal number, since it uses more digits than its factorization.

1040179968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1040179968 is about 32251.8211578819. The cubic root of 1040179968 is about 1013.2178415622.

The spelling of 1040179968 in words is "one billion, forty million, one hundred seventy-nine thousand, nine hundred sixty-eight".