436228138440 has 128 divisors (see below), whose sum is σ = 1455987456000. Its totient is φ = 116176011264.

The previous prime is 436228138421. The next prime is 436228138459. The reversal of 436228138440 is 44831822634.

It is a happy number.

436228138440 is a `hidden beast` number, since 4 + 3 + 6 + 228 + 1 + 384 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (436228138421) and next prime (436228138459).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567897 + ... + 1093143.

It is an arithmetic number, because the mean of its divisors is an integer number (11374902000).

Almost surely, 2^436228138440 is an apocalyptic number.

436228138440 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 436228138440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727993728000).

436228138440 is an abundant number, since it is smaller than the sum of its proper divisors (1019759317560).

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

436228138440 is a wasteful number, since it uses less digits than its factorization.

436228138440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526036 (or 526026 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 436228138440 in words is "four hundred thirty-six billion, two hundred twenty-eight million, one hundred thirty-eight thousand, four hundred forty".