40352506040 has 128 divisors (see below), whose sum is σ = 113852459520. Its totient is φ = 12504537600.

The previous prime is 40352506031. The next prime is 40352506087. The reversal of 40352506040 is 4060525304.

It is a junction number, because it is equal to n+sod(n) for n = 40352505994 and 40352506012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494975 + ... + 570705.

It is an arithmetic number, because the mean of its divisors is an integer number (889472340).

Almost surely, 2^40352506040 is an apocalyptic number.

40352506040 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 40352506040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56926229760).

40352506040 is an abundant number, since it is smaller than the sum of its proper divisors (73499953480).

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

40352506040 is a wasteful number, since it uses less digits than its factorization.

40352506040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75933 (or 75929 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 40352506040 in words is "forty billion, three hundred fifty-two million, five hundred six thousand, forty".