1041921600 has 168 divisors, whose sum is σ = 3446544288. Its totient is φ = 275558400.

The previous prime is 1041921583. The next prime is 1041921607. The reversal of 1041921600 is 61291401.

It is a super-3 number, since 3×1041921600³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1041921607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627972 + ... + 629628.

Almost surely, 2^1041921600 is an apocalyptic number.

1041921600 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 1041921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723272144).

1041921600 is an abundant number, since it is smaller than the sum of its proper divisors (2404622688).

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

1041921600 is a wasteful number, since it uses less digits than its factorization.

1041921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1041921600 is about 32278.8103870016. The cubic root of 1041921600 is about 1013.7830221718.

The spelling of 1041921600 in words is "one billion, forty-one million, nine hundred twenty-one thousand, six hundred".