1011414880 has 288 divisors, whose sum is σ = 2978519040. Its totient is φ = 322882560.

The previous prime is 1011414863. The next prime is 1011414883. The reversal of 1011414880 is 884141101.

1011414880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011414883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12802681 + ... + 12802759.

It is an arithmetic number, because the mean of its divisors is an integer number (10342080).

Almost surely, 2^1011414880 is an apocalyptic number.

1011414880 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 1011414880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489259520).

1011414880 is an abundant number, since it is smaller than the sum of its proper divisors (1967104160).

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

1011414880 is a wasteful number, since it uses less digits than its factorization.

1011414880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 1011414880 is about 31802.7495666648. The cubic root of 1011414880 is about 1003.7905733984.

Adding to 1011414880 its reverse (884141101), we get a palindrome (1895555981).

The spelling of 1011414880 in words is "one billion, eleven million, four hundred fourteen thousand, eight hundred eighty".