1021362144 has 192 divisors, whose sum is σ = 3040063488. Its totient is φ = 297561600.

The previous prime is 1021362059. The next prime is 1021362149. The reversal of 1021362144 is 4412631201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021362149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3768729 + ... + 3768999.

It is an arithmetic number, because the mean of its divisors is an integer number (15833664).

Almost surely, 2^1021362144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021362144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520031744).

1021362144 is an abundant number, since it is smaller than the sum of its proper divisors (2018701344).

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

1021362144 is a wasteful number, since it uses less digits than its factorization.

1021362144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1021362144 is about 31958.7569220081. The cubic root of 1021362144 is about 1007.0706034062.

Adding to 1021362144 its reverse (4412631201), we get a palindrome (5433993345).

The spelling of 1021362144 in words is "one billion, twenty-one million, three hundred sixty-two thousand, one hundred forty-four".