1022418144 has 144 divisors (see below), whose sum is σ = 3215996784. Its totient is φ = 305510400.

The previous prime is 1022418127. The next prime is 1022418157. The reversal of 1022418144 is 4418142201.

1022418144 is a `hidden beast` number, since 102 + 2 + 418 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1022418144² = 2090677722360809472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229054 + ... + 233474.

It is an arithmetic number, because the mean of its divisors is an integer number (22333311).

Almost surely, 2^1022418144 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 1022418144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607998392).

1022418144 is an abundant number, since it is smaller than the sum of its proper divisors (2193578640).

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

1022418144 is a wasteful number, since it uses less digits than its factorization.

1022418144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4521 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1022418144 is about 31975.2739472237. The cubic root of 1022418144 is about 1007.4175584548.

The spelling of 1022418144 in words is "one billion, twenty-two million, four hundred eighteen thousand, one hundred forty-four".