1009804002480 has 800 divisors, whose sum is σ = 4570512718464. Its totient is φ = 200522760192.

The previous prime is 1009804002457. The next prime is 1009804002511. The reversal of 1009804002480 is 842004089001.

1009804002480 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 8 + 0 + 400 + 248 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9974194 + ... + 10074926.

Almost surely, 2^{1009804002480} is an apocalyptic number.

1009804002480 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 1009804002480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285256359232).

1009804002480 is an abundant number, since it is smaller than the sum of its proper divisors (3560708715984).

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

1009804002480 is a wasteful number, since it uses less digits than its factorization.

1009804002480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100795 (or 100780 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1009804002480 in words is "one trillion, nine billion, eight hundred four million, two thousand, four hundred eighty".