1009917200448 has 336 divisors, whose sum is σ = 3407286145536. Its totient is φ = 283029258240.

The previous prime is 1009917200443. The next prime is 1009917200491. The reversal of 1009917200448 is 8440027199001.

It is a happy number.

1009917200448 is a `hidden beast` number, since 100 + 99 + 17 + 2 + 0 + 0 + 448 = 666.

It is a super-2 number, since 2×1009917200448² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1009917200441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3818215 + ... + 4074137.

It is an arithmetic number, because the mean of its divisors is an integer number (10140732576).

Almost surely, 2^{1009917200448} is an apocalyptic number.

1009917200448 is a gapful number since it is divisible by the number (18) 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 1009917200448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703643072768).

1009917200448 is an abundant number, since it is smaller than the sum of its proper divisors (2397368945088).

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

1009917200448 is a wasteful number, since it uses less digits than its factorization.

1009917200448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256002 (or 255989 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1009917200448 in words is "one trillion, nine billion, nine hundred seventeen million, two hundred thousand, four hundred forty-eight".