4412126460 has 192 divisors, whose sum is σ = 14633902080. Its totient is φ = 971965440.

The previous prime is 4412126449. The next prime is 4412126461. The reversal of 4412126460 is 646212144.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412126461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4126806 + ... + 4127874.

It is an arithmetic number, because the mean of its divisors is an integer number (76218240).

Almost surely, 2^4412126460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4412126460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7316951040).

4412126460 is an abundant number, since it is smaller than the sum of its proper divisors (10221775620).

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

4412126460 is a wasteful number, since it uses less digits than its factorization.

4412126460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 4412126460 is about 66423.8395457535. The cubic root of 4412126460 is about 1640.1465341009.

The spelling of 4412126460 in words is "four billion, four hundred twelve million, one hundred twenty-six thousand, four hundred sixty".