1003302780480 has 1120 divisors, whose sum is σ = 4791966600960. Its totient is φ = 192436715520.

The previous prime is 1003302780479. The next prime is 1003302780509. The reversal of 1003302780480 is 840872033001.

1003302780480 is a `hidden beast` number, since 10 + 0 + 330 + 278 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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, 25926586 + ... + 25965254.

It is an arithmetic number, because the mean of its divisors is an integer number (4278541608).

Almost surely, 2^{1003302780480} is an apocalyptic number.

1003302780480 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 1003302780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395983300480).

1003302780480 is an abundant number, since it is smaller than the sum of its proper divisors (3788663820480).

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

1003302780480 is a wasteful number, since it uses less digits than its factorization.

1003302780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38729 (or 38710 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1003302780480 in words is "one trillion, three billion, three hundred two million, seven hundred eighty thousand, four hundred eighty".