436028242272 has 384 divisors, whose sum is σ = 1382032834560. Its totient is φ = 117683005440.

The previous prime is 436028242217. The next prime is 436028242277. The reversal of 436028242272 is 272242820634.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (436028242277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 478625497 + ... + 478626407.

It is an arithmetic number, because the mean of its divisors is an integer number (3599043840).

Almost surely, 2^436028242272 is an apocalyptic number.

436028242272 is a gapful number since it is divisible by the number (42) 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 436028242272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691016417280).

436028242272 is an abundant number, since it is smaller than the sum of its proper divisors (946004592288).

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

436028242272 is a wasteful number, since it uses less digits than its factorization.

436028242272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 436028242272 in words is "four hundred thirty-six billion, twenty-eight million, two hundred forty-two thousand, two hundred seventy-two".