1050584000400 has 405 divisors, whose sum is σ = 4009969146547. Its totient is φ = 254523033600.

The previous prime is 1050584000387. The next prime is 1050584000437. The reversal of 1050584000400 is 40004850501.

The square root of 1050584000400 is 1024980.

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 337788790416 + 712795209984 = 581196^2 + 844272^2 .

It is a super-2 number, since 2×1050584000400² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 676486024 + ... + 676487576.

Almost surely, 2^{1050584000400} is an apocalyptic number.

1050584000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1050584000400 is the 1024980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1050584000400

1050584000400 is an abundant number, since it is smaller than the sum of its proper divisors (2959385146147).

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

1050584000400 is a wasteful number, since it uses less digits than its factorization.

1050584000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 1050584000400 its reverse (40004850501), we get a palindrome (1090588850901).

The spelling of 1050584000400 in words is "one trillion, fifty billion, five hundred eighty-four million, four hundred", and thus it is an aban number.