1042132000 has 288 divisors, whose sum is σ = 3215525040. Its totient is φ = 329011200.

The previous prime is 1042131989. The next prime is 1042132019. The reversal of 1042132000 is 2312401.

It can be written as a sum of positive squares in 8 ways, for example, as 53406864 + 988725136 = 7308^2 + 31444^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2547796 + ... + 2548204.

Almost surely, 2^1042132000 is an apocalyptic number.

1042132000 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 1042132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607762520).

1042132000 is an abundant number, since it is smaller than the sum of its proper divisors (2173393040).

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

1042132000 is a wasteful number, since it uses less digits than its factorization.

1042132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1042132000 is about 32282.0693264853. The cubic root of 1042132000 is about 1013.8512568617.

Adding to 1042132000 its reverse (2312401), we get a palindrome (1044444401).

The spelling of 1042132000 in words is "one billion, forty-two million, one hundred thirty-two thousand".