4214272320 has 224 divisors, whose sum is σ = 14909840640. Its totient is φ = 1120573440.

The previous prime is 4214272303. The next prime is 4214272351. The reversal of 4214272320 is 232724124.

4214272320 is a `hidden beast` number, since 4 + 2 + 1 + 427 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5451454 + ... + 5452226.

Almost surely, 2^4214272320 is an apocalyptic number.

4214272320 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 4214272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7454920320).

4214272320 is an abundant number, since it is smaller than the sum of its proper divisors (10695568320).

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

4214272320 is a wasteful number, since it uses less digits than its factorization.

4214272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4214272320 is about 64917.4269360701. The cubic root of 4214272320 is about 1615.2541488352.

Adding to 4214272320 its reverse (232724124), we get a palindrome (4446996444).

The spelling of 4214272320 in words is "four billion, two hundred fourteen million, two hundred seventy-two thousand, three hundred twenty".