40405430000 has 400 divisors, whose sum is σ = 114213939840. Its totient is φ = 13707264000.

The previous prime is 40405429957. The next prime is 40405430011. The reversal of 40405430000 is 3450404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 103869806 + ... + 103870194.

Almost surely, 2^40405430000 is an apocalyptic number.

40405430000 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 40405430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57106969920).

40405430000 is an abundant number, since it is smaller than the sum of its proper divisors (73808509840).

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

40405430000 is a wasteful number, since it uses less digits than its factorization.

40405430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 40405430000 its reverse (3450404), we get a palindrome (40408880404).

The spelling of 40405430000 in words is "forty billion, four hundred five million, four hundred thirty thousand".