40834491216 has 160 divisors (see below), whose sum is σ = 111131637120. Its totient is φ = 12902400000.

The previous prime is 40834491211. The next prime is 40834491223. The reversal of 40834491216 is 61219443804.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40834491211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25504816 + ... + 25506416.

It is an arithmetic number, because the mean of its divisors is an integer number (694572732).

Almost surely, 2^40834491216 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 40834491216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55565818560).

40834491216 is an abundant number, since it is smaller than the sum of its proper divisors (70297145904).

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

40834491216 is a wasteful number, since it uses less digits than its factorization.

40834491216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 40834491216 in words is "forty billion, eight hundred thirty-four million, four hundred ninety-one thousand, two hundred sixteen".