4214725920 has 192 divisors, whose sum is σ = 15528240000. Its totient is φ = 1064752128.

The previous prime is 4214725897. The next prime is 4214725937. The reversal of 4214725920 is 295274124.

4214725920 is a `hidden beast` number, since 4 + 21 + 47 + 2 + 592 + 0 = 666.

It is a super-4 number, since 4×4214725920⁴ (a number of 40 digits) contains 4444 as substring.

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

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, 56406 + ... + 107754.

It is an arithmetic number, because the mean of its divisors is an integer number (80876250).

Almost surely, 2^4214725920 is an apocalyptic number.

4214725920 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 4214725920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7764120000).

4214725920 is an abundant number, since it is smaller than the sum of its proper divisors (11313514080).

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

4214725920 is a wasteful number, since it uses less digits than its factorization.

4214725920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51392 (or 51378 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4214725920 is about 64920.9205110340. The cubic root of 4214725920 is about 1615.3120989739.

The spelling of 4214725920 in words is "four billion, two hundred fourteen million, seven hundred twenty-five thousand, nine hundred twenty".