1032041000 has 64 divisors (see below), whose sum is σ = 2480334480. Its totient is φ = 401644800.

The previous prime is 1032040991. The next prime is 1032041029. The reversal of 1032041000 is 1402301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 518837284 + 513203716 = 22778^2 + 22654^2 .

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, 23054 + ... + 50946.

Almost surely, 2^1032041000 is an apocalyptic number.

1032041000 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 1032041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240167240).

1032041000 is an abundant number, since it is smaller than the sum of its proper divisors (1448293480).

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

1032041000 is a wasteful number, since it uses less digits than its factorization.

1032041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27951 (or 27937 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1032041000 is about 32125.3949392066. The cubic root of 1032041000 is about 1010.5682519356.

Adding to 1032041000 its reverse (1402301), we get a palindrome (1033443301).

It can be divided in two parts, 10 and 32041000, that multiplied together give a square (320410000 = 17900²).

The spelling of 1032041000 in words is "one billion, thirty-two million, forty-one thousand".