1014412032 has 288 divisors, whose sum is σ = 3245054400. Its totient is φ = 311427072.

The previous prime is 1014411971. The next prime is 1014412043. The reversal of 1014412032 is 2302144101.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1014411996 and 1014412014.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10457808 + ... + 10457904.

It is an arithmetic number, because the mean of its divisors is an integer number (11267550).

Almost surely, 2^1014412032 is an apocalyptic number.

1014412032 is a gapful number since it is divisible by the number (12) 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 1014412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622527200).

1014412032 is an abundant number, since it is smaller than the sum of its proper divisors (2230642368).

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

1014412032 is an equidigital number, since it uses as much as digits as its factorization.

1014412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1014412032 is about 31849.8356667660. The cubic root of 1014412032 is about 1004.7811151738.

Adding to 1014412032 its reverse (2302144101), we get a palindrome (3316556133).

The spelling of 1014412032 in words is "one billion, fourteen million, four hundred twelve thousand, thirty-two".