4212376320 has 288 divisors, whose sum is σ = 13960945152. Its totient is φ = 1081737216.

The previous prime is 4212376309. The next prime is 4212376339. The reversal of 4212376320 is 236732124.

It is a super-2 number, since 2×4212376320² = 35488228522593484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 16016509 + ... + 16016771.

It is an arithmetic number, because the mean of its divisors is an integer number (48475504).

Almost surely, 2^4212376320 is an apocalyptic number.

4212376320 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 4212376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6980472576).

4212376320 is an abundant number, since it is smaller than the sum of its proper divisors (9748568832).

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

4212376320 is a wasteful number, since it uses less digits than its factorization.

4212376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 4212376320 is about 64902.8221266225. The cubic root of 4212376320 is about 1615.0118783613.

The spelling of 4212376320 in words is "four billion, two hundred twelve million, three hundred seventy-six thousand, three hundred twenty".