1041151968 has 264 divisors, whose sum is σ = 3348059400. Its totient is φ = 317447424.

The previous prime is 1041151963. The next prime is 1041151973. The reversal of 1041151968 is 8691511401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1041151963) and next prime (1041151973).

It is a super-3 number, since 3×1041151968³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041151963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 35901778 + ... + 35901806.

Almost surely, 2^1041151968 is an apocalyptic number.

1041151968 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 1041151968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674029700).

1041151968 is an abundant number, since it is smaller than the sum of its proper divisors (2306907432).

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

1041151968 is an frugal number, since it uses more digits than its factorization.

1041151968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 1041151968 is about 32266.8865557246. The cubic root of 1041151968 is about 1013.5333450220.

The spelling of 1041151968 in words is "one billion, forty-one million, one hundred fifty-one thousand, nine hundred sixty-eight".