1041656000 has 448 divisors, whose sum is σ = 3423513600. Its totient is φ = 304128000.

The previous prime is 1041655997. The next prime is 1041656003. The reversal of 1041656000 is 6561401.

It is an interprime number because it is at equal distance from previous prime (1041655997) and next prime (1041656003).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041656003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11703956 + ... + 11704044.

Almost surely, 2^1041656000 is an apocalyptic number.

1041656000 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 1041656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711756800).

1041656000 is an abundant number, since it is smaller than the sum of its proper divisors (2381857600).

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

1041656000 is a wasteful number, since it uses less digits than its factorization.

1041656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 1041656000 is about 32274.6959706827. The cubic root of 1041656000 is about 1013.6968724866.

The spelling of 1041656000 in words is "one billion, forty-one million, six hundred fifty-six thousand".