40340133504 has 384 divisors, whose sum is σ = 134367292800. Its totient is φ = 11496038400.

The previous prime is 40340133467. The next prime is 40340133517. The reversal of 40340133504 is 40533104304.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×40340133504² (a number of 22 digits) contains 22 as substring.

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, 17777682 + ... + 17779950.

It is an arithmetic number, because the mean of its divisors is an integer number (349914825).

Almost surely, 2^40340133504 is an apocalyptic number.

40340133504 is a gapful number since it is divisible by the number (44) 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 40340133504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67183646400).

40340133504 is an abundant number, since it is smaller than the sum of its proper divisors (94027159296).

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

40340133504 is a wasteful number, since it uses less digits than its factorization.

40340133504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 40340133504 its reverse (40533104304), we get a palindrome (80873237808).

The spelling of 40340133504 in words is "forty billion, three hundred forty million, one hundred thirty-three thousand, five hundred four".