63011040400 has 405 divisors, whose sum is σ = 194759020953. Its totient is φ = 19519315200.

The previous prime is 63011040349. The next prime is 63011040439. The reversal of 63011040400 is 404011036.

It is a happy number.

The square root of 63011040400 is 251020.

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

It can be written as a sum of positive squares in only one way, i.e., 22683974544 + 40327065856 = 150612^2 + 200816^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 386570719 + ... + 386570881.

Almost surely, 2^63011040400 is an apocalyptic number.

63011040400 is the 251020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63011040400

63011040400 is an abundant number, since it is smaller than the sum of its proper divisors (131747980553).

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

63011040400 is a wasteful number, since it uses less digits than its factorization.

63011040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 63011040400 its reverse (404011036), we get a palindrome (63415051436).

The spelling of 63011040400 in words is "sixty-three billion, eleven million, forty thousand, four hundred".