1022433040 has 80 divisors (see below), whose sum is σ = 2539645488. Its totient is φ = 381452288.

The previous prime is 1022433029. The next prime is 1022433067. The reversal of 1022433040 is 403342201.

It can be written as a sum of positive squares in 8 ways, for example, as 292136464 + 730296576 = 17092^2 + 27024^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1022432999 and 1022433017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150354 + ... + 157006.

Almost surely, 2^1022433040 is an apocalyptic number.

1022433040 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 1022433040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269822744).

1022433040 is an abundant number, since it is smaller than the sum of its proper divisors (1517212448).

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

1022433040 is a wasteful number, since it uses less digits than its factorization.

1022433040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6796 (or 6790 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 1022433040 is about 31975.5068763577. The cubic root of 1022433040 is about 1007.4224509146.

Adding to 1022433040 its reverse (403342201), we get a palindrome (1425775241).

It can be divided in two parts, 10224 and 33040, that added together give a square (43264 = 208²).

The spelling of 1022433040 in words is "one billion, twenty-two million, four hundred thirty-three thousand, forty".