1411123968 has 216 divisors, whose sum is σ = 4387568640. Its totient is φ = 434903040.

The previous prime is 1411123957. The next prime is 1411123979. The reversal of 1411123968 is 8693211141.

1411123968 is a `hidden beast` number, since 1 + 411 + 1 + 239 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1411123957) and next prime (1411123979).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

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, 1642323 + ... + 1643181.

Almost surely, 2^1411123968 is an apocalyptic number.

1411123968 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 1411123968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193784320).

1411123968 is an abundant number, since it is smaller than the sum of its proper divisors (2976444672).

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

1411123968 is a wasteful number, since it uses less digits than its factorization.

1411123968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 918 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1411123968 is about 37564.9300278864. The cubic root of 1411123968 is about 1121.6440481058.

The spelling of 1411123968 in words is "one billion, four hundred eleven million, one hundred twenty-three thousand, nine hundred sixty-eight".