4212469440 has 336 divisors, whose sum is σ = 15517075392. Its totient is φ = 1045168128.

The previous prime is 4212469439. The next prime is 4212469451. The reversal of 4212469440 is 449642124.

It is a happy number.

4212469440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 4212469395 and 4212469404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4748677 + ... + 4749563.

It is an arithmetic number, because the mean of its divisors is an integer number (46181772).

Almost surely, 2^4212469440 is an apocalyptic number.

4212469440 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 4212469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7758537696).

4212469440 is an abundant number, since it is smaller than the sum of its proper divisors (11304605952).

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

4212469440 is a wasteful number, since it uses less digits than its factorization.

4212469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1011 counting only the distinct ones).

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

The square root of 4212469440 is about 64903.5395028653. The cubic root of 4212469440 is about 1615.0237789123.

The spelling of 4212469440 in words is "four billion, two hundred twelve million, four hundred sixty-nine thousand, four hundred forty".