1000883220480 has 1872 divisors, whose sum is σ = 4310077464576. Its totient is φ = 212548976640.

The previous prime is 1000883220473. The next prime is 1000883220481. The reversal of 1000883220480 is 840223880001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-3 number, since 3×1000883220480³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000883220481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7880970177 + ... + 7880970303.

It is an arithmetic number, because the mean of its divisors is an integer number (2302391808).

Almost surely, 2^{1000883220480} is an apocalyptic number.

1000883220480 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 1000883220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2155038732288).

1000883220480 is an abundant number, since it is smaller than the sum of its proper divisors (3309194244096).

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

1000883220480 is a wasteful number, since it uses less digits than its factorization.

1000883220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 1000883220480 in words is "one trillion, eight hundred eighty-three million, two hundred twenty thousand, four hundred eighty".