1051382404800 has 2016 divisors, whose sum is σ = 4818410268672. Its totient is φ = 211527106560.

The previous prime is 1051382404769. The next prime is 1051382404801. The reversal of 1051382404800 is 84042831501.

1051382404800 is a `hidden beast` number, since 1 + 0 + 5 + 138 + 2 + 40 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×1051382404800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1051382404801) 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 287 ways as a sum of consecutive naturals, for example, 2648318202 + ... + 2648318598.

Almost surely, 2^{1051382404800} is an apocalyptic number.

1051382404800 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 1051382404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409205134336).

1051382404800 is an abundant number, since it is smaller than the sum of its proper divisors (3767027863872).

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

1051382404800 is a wasteful number, since it uses less digits than its factorization.

1051382404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1051382404800 in words is "one trillion, fifty-one billion, three hundred eighty-two million, four hundred four thousand, eight hundred".