40302002344032 has 288 divisors, whose sum is σ = 134673963723936. Its totient is φ = 11270889676800.

The previous prime is 40302002344031. The next prime is 40302002344103. The reversal of 40302002344032 is 23044320020304.

40302002344032 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 20 + 0 + 234 + 403 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 40302002343987 and 40302002344005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40302002344031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198116932 + ... + 198320252.

It is an arithmetic number, because the mean of its divisors is an integer number (467617929597).

Almost surely, 2^{40302002344032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40302002344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67336981861968).

40302002344032 is an abundant number, since it is smaller than the sum of its proper divisors (94371961379904).

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

40302002344032 is a wasteful number, since it uses less digits than its factorization.

40302002344032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208174 (or 208163 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 40302002344032 its reverse (23044320020304), we get a palindrome (63346322364336).

The spelling of 40302002344032 in words is "forty trillion, three hundred two billion, two million, three hundred forty-four thousand, thirty-two".