1012442400420 has 192 divisors, whose sum is σ = 3105473817600. Its totient is φ = 244417098240.

The previous prime is 1012442400391. The next prime is 1012442400479. The reversal of 1012442400420 is 240042442101.

It is a super-2 number, since 2×1012442400420² (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 63 ways as a sum of consecutive naturals, for example, 184850722 + ... + 184856198.

It is an arithmetic number, because the mean of its divisors is an integer number (16174342800).

Almost surely, 2^{1012442400420} is an apocalyptic number.

1012442400420 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 1012442400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552736908800).

1012442400420 is an abundant number, since it is smaller than the sum of its proper divisors (2093031417180).

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

1012442400420 is a wasteful number, since it uses less digits than its factorization.

1012442400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6618 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1012442400420 its reverse (240042442101), we get a palindrome (1252484842521).

The spelling of 1012442400420 in words is "one trillion, twelve billion, four hundred forty-two million, four hundred thousand, four hundred twenty".