1051805446400 has 108 divisors (see below), whose sum is σ = 2626423416372. Its totient is φ = 416998686720.

The previous prime is 1051805446333. The next prime is 1051805446427. The reversal of 1051805446400 is 46445081501.

It can be written as a sum of positive squares in 6 ways, for example, as 18378682624 + 1033426763776 = 135568^2 + 1016576^2 .

It is a super-2 number, since 2×1051805446400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3989 + ... + 1450388.

Almost surely, 2^{1051805446400} is an apocalyptic number.

1051805446400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051805446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313211708186).

1051805446400 is an abundant number, since it is smaller than the sum of its proper divisors (1574617969972).

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

1051805446400 is a wasteful number, since it uses less digits than its factorization.

1051805446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454516 (or 1454497 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The spelling of 1051805446400 in words is "one trillion, fifty-one billion, eight hundred five million, four hundred forty-six thousand, four hundred".