1009582848400 has 135 divisors (see below), whose sum is σ = 2821919703939. Its totient is φ = 346094461440.

The previous prime is 1009582848397. The next prime is 1009582848427. The reversal of 1009582848400 is 48482859001.

The square root of 1009582848400 is 1004780.

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 141048318096 + 868534530304 = 375564^2 + 931952^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 140665612 + ... + 140672788.

Almost surely, 2^{1009582848400} is an apocalyptic number.

1009582848400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1009582848400 is the 1004780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009582848400

1009582848400 is an abundant number, since it is smaller than the sum of its proper divisors (1812336855539).

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

1009582848400 is an frugal number, since it uses more digits than its factorization.

1009582848400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14386 (or 7191 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 49.

Multiplying 1009582848400 by its sum of digits (49), we get a square (49469559571600 = 7033460²).

1009582848400 divided by its sum of digits (49) gives a square (20603731600 = 143540²).

The spelling of 1009582848400 in words is "one trillion, nine billion, five hundred eighty-two million, eight hundred forty-eight thousand, four hundred".