4214442960 has 600 divisors, whose sum is σ = 18354903336. Its totient is φ = 888330240.

The previous prime is 4214442917. The next prime is 4214442961. The reversal of 4214442960 is 692444124.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 117418896 + 4097024064 = 10836^2 + 64008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214442961) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4127250 + ... + 4128270.

Almost surely, 2^4214442960 is an apocalyptic number.

4214442960 is a gapful number since it is divisible by the number (40) 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 4214442960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9177451668).

4214442960 is an abundant number, since it is smaller than the sum of its proper divisors (14140460376).

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

4214442960 is a wasteful number, since it uses less digits than its factorization.

4214442960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4214442960 is about 64918.7412077591. The cubic root of 4214442960 is about 1615.2759496134.

The spelling of 4214442960 in words is "four billion, two hundred fourteen million, four hundred forty-two thousand, nine hundred sixty".