1014822432 has 144 divisors (see below), whose sum is σ = 3223321920. Its totient is φ = 312221952.

The previous prime is 1014822359. The next prime is 1014822443. The reversal of 1014822432 is 2342284101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1014822396 and 1014822405.

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, 96069 + ... + 106107.

It is an arithmetic number, because the mean of its divisors is an integer number (22384180).

Almost surely, 2^1014822432 is an apocalyptic number.

1014822432 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 1014822432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611660960).

1014822432 is an abundant number, since it is smaller than the sum of its proper divisors (2208499488).

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

1014822432 is a wasteful number, since it uses less digits than its factorization.

1014822432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10077 (or 10057 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1014822432 is about 31856.2777486636. The cubic root of 1014822432 is about 1004.9165981135.

The spelling of 1014822432 in words is "one billion, fourteen million, eight hundred twenty-two thousand, four hundred thirty-two".