1052214464160 has 384 divisors, whose sum is σ = 4104619142400. Its totient is φ = 250185646080.

The previous prime is 1052214464153. The next prime is 1052214464227. The reversal of 1052214464160 is 614644122501.

1052214464160 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 2 + 1 + 4 + 4 + 641 + 6 + 0 = 666.

It is a super-2 number, since 2×1052214464160² (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 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 63 ways as a sum of consecutive naturals, for example, 1018320 + ... + 1772400.

It is an arithmetic number, because the mean of its divisors is an integer number (10689112350).

Almost surely, 2^{1052214464160} is an apocalyptic number.

1052214464160 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 1052214464160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052309571200).

1052214464160 is an abundant number, since it is smaller than the sum of its proper divisors (3052404678240).

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

1052214464160 is a wasteful number, since it uses less digits than its factorization.

1052214464160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754141 (or 754127 counting only the distinct ones).

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

Adding to 1052214464160 its reverse (614644122501), we get a palindrome (1666858586661).

The spelling of 1052214464160 in words is "one trillion, fifty-two billion, two hundred fourteen million, four hundred sixty-four thousand, one hundred sixty".