1041600000 has 480 divisors, whose sum is σ = 4091738112. Its totient is φ = 230400000.

The previous prime is 1041599981. The next prime is 1041600037. The reversal of 1041600000 is 61401.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 33599985 + ... + 33600015.

Almost surely, 2^1041600000 is an apocalyptic number.

1041600000 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 1041600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045869056).

1041600000 is an abundant number, since it is smaller than the sum of its proper divisors (3050138112).

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

1041600000 is an frugal number, since it uses more digits than its factorization.

1041600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1041600000 is about 32273.8284063109. The cubic root of 1041600000 is about 1013.6787065271.

Adding to 1041600000 its reverse (61401), we get a palindrome (1041661401).

The spelling of 1041600000 in words is "one billion, forty-one million, six hundred thousand".