1008980070400 has 351 divisors, whose sum is σ = 2597073263559. Its totient is φ = 388806082560.

The previous prime is 1008980070377. The next prime is 1008980070419. The reversal of 1008980070400 is 40700898001.

The square root of 1008980070400 is 1004480.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5521084416 + 1003458985984 = 74304^2 + 1001728^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1008980070400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13821644764 + ... + 13821644836.

Almost surely, 2^{1008980070400} is an apocalyptic number.

1008980070400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1008980070400 is the 1004480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008980070400

1008980070400 is an abundant number, since it is smaller than the sum of its proper divisors (1588093193159).

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

1008980070400 is an frugal number, since it uses more digits than its factorization.

1008980070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 1008980070400 in words is "one trillion, eight billion, nine hundred eighty million, seventy thousand, four hundred".