436053009408 has 352 divisors, whose sum is σ = 1301964316416. Its totient is φ = 129034616832.

The previous prime is 436053009347. The next prime is 436053009409. The reversal of 436053009408 is 804900350634.

It is a self number, because there is not a number n which added to its sum of digits gives 436053009408.

It is not an unprimeable number, because it can be changed into a prime (436053009409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87681610 + ... + 87686582.

Almost surely, 2^436053009408 is an apocalyptic number.

436053009408 is a gapful number since it is divisible by the number (48) 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 436053009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650982158208).

436053009408 is an abundant number, since it is smaller than the sum of its proper divisors (865911307008).

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

436053009408 is a wasteful number, since it uses less digits than its factorization.

436053009408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5109 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 436053009408 in words is "four hundred thirty-six billion, fifty-three million, nine thousand, four hundred eight".