40822784352 has 960 divisors, whose sum is σ = 154338307200. Its totient is φ = 10534551552.

The previous prime is 40822784333. The next prime is 40822784371. The reversal of 40822784352 is 25348722804.

It is an interprime number because it is at equal distance from previous prime (40822784333) and next prime (40822784371).

It is a junction number, because it is equal to n+sod(n) for n = 40822784298 and 40822784307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 559216188 + ... + 559216260.

It is an arithmetic number, because the mean of its divisors is an integer number (160769070).

Almost surely, 2^40822784352 is an apocalyptic number.

40822784352 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 40822784352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77169153600).

40822784352 is an abundant number, since it is smaller than the sum of its proper divisors (113515522848).

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

40822784352 is a wasteful number, since it uses less digits than its factorization.

40822784352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 40822784352 in words is "forty billion, eight hundred twenty-two million, seven hundred eighty-four thousand, three hundred fifty-two".