1041450009600 has 4224 divisors, whose sum is σ = 5239984619520. Its totient is φ = 175177728000.

The previous prime is 1041450009571. The next prime is 1041450009637. The reversal of 1041450009600 is 69000541401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 33595161585 + ... + 33595161615.

Almost surely, 2^{1041450009600} is an apocalyptic number.

1041450009600 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 1041450009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619992309760).

1041450009600 is an abundant number, since it is smaller than the sum of its proper divisors (4198534609920).

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

1041450009600 is a wasteful number, since it uses less digits than its factorization.

1041450009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 1041450009600 in words is "one trillion, forty-one billion, four hundred fifty million, nine thousand, six hundred".