40302002340432 has 240 divisors, whose sum is σ = 129376832352768. Its totient is φ = 11472515758080.

The previous prime is 40302002340427. The next prime is 40302002340533. The reversal of 40302002340432 is 23404320020304.

40302002340432 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 200 + 23 + 4 + 0 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40302002340396 and 40302002340405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 675464233 + ... + 675523895.

Almost surely, 2^{40302002340432} is an apocalyptic number.

40302002340432 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 40302002340432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64688416176384).

40302002340432 is an abundant number, since it is smaller than the sum of its proper divisors (89074830012336).

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

40302002340432 is a wasteful number, since it uses less digits than its factorization.

40302002340432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62138 (or 62129 counting only the distinct ones).

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

Adding to 40302002340432 its reverse (23404320020304), we get a palindrome (63706322360736).

The spelling of 40302002340432 in words is "forty trillion, three hundred two billion, two million, three hundred forty thousand, four hundred thirty-two".