1050830438400 has 792 divisors, whose sum is σ = 4016162562984. Its totient is φ = 261724569600.

The previous prime is 1050830438389. The next prime is 1050830438431. The reversal of 1050830438400 is 48340380501.

1050830438400 is a `hidden beast` number, since 1 + 0 + 508 + 30 + 43 + 84 + 0 + 0 = 666.

It is a super-2 number, since 2×1050830438400² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8021606335 + ... + 8021606465.

It is an arithmetic number, because the mean of its divisors is an integer number (5070912327).

Almost surely, 2^{1050830438400} is an apocalyptic number.

1050830438400 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 1050830438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008081281492).

1050830438400 is an abundant number, since it is smaller than the sum of its proper divisors (2965332124584).

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

1050830438400 is an frugal number, since it uses more digits than its factorization.

1050830438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1050830438400 in words is "one trillion, fifty billion, eight hundred thirty million, four hundred thirty-eight thousand, four hundred".