126216440 has 64 divisors (see below), whose sum is σ = 328527360. Its totient is φ = 42744960.

The previous prime is 126216427. The next prime is 126216457. The reversal of 126216440 is 44612621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20525 + ... + 25955.

It is an arithmetic number, because the mean of its divisors is an integer number (5133240).

Almost surely, 2^126216440 is an apocalyptic number.

126216440 is a gapful number since it is divisible by the number (10) 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 126216440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164263680).

126216440 is an abundant number, since it is smaller than the sum of its proper divisors (202310920).

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

126216440 is a wasteful number, since it uses less digits than its factorization.

126216440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5532 (or 5528 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 126216440 is about 11234.6090274651. The cubic root of 126216440 is about 501.6166870122.

The spelling of 126216440 in words is "one hundred twenty-six million, two hundred sixteen thousand, four hundred forty".