4511291040400 has 135 divisors (see below), whose sum is σ = 11515274658939. Its totient is φ = 1698096522240.

The previous prime is 4511291040367. The next prime is 4511291040401. The reversal of 4511291040400 is 40401921154.

The square root of 4511291040400 is 2123980.

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 105523624336 + 4405767416064 = 324844^2 + 2098992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4511291040401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 722150077 + ... + 722156323.

Almost surely, 2^{4511291040400} is an apocalyptic number.

4511291040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4511291040400 is the 2123980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4511291040400

4511291040400 is an abundant number, since it is smaller than the sum of its proper divisors (7003983618539).

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

4511291040400 is an frugal number, since it uses more digits than its factorization.

4511291040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12546 (or 6271 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

Adding to 4511291040400 its reverse (40401921154), we get a palindrome (4551692961554).

The spelling of 4511291040400 in words is "four trillion, five hundred eleven billion, two hundred ninety-one million, forty thousand, four hundred".