1040952000 has 224 divisors, whose sum is σ = 3750649344. Its totient is φ = 252288000.

The previous prime is 1040951987. The next prime is 1040952001. The reversal of 1040952000 is 2590401.

It is not an unprimeable number, because it can be changed into a prime (1040952001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262029 + ... + 265971.

Almost surely, 2^1040952000 is an apocalyptic number.

1040952000 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 1040952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875324672).

1040952000 is an abundant number, since it is smaller than the sum of its proper divisors (2709697344).

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

1040952000 is a wasteful number, since it uses less digits than its factorization.

1040952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1040952000 is about 32263.7877503557. The cubic root of 1040952000 is about 1013.4684530501.

The spelling of 1040952000 in words is "one billion, forty million, nine hundred fifty-two thousand".