40219216320 has 112 divisors (see below), whose sum is σ = 128615114880. Its totient is φ = 10647929856.

The previous prime is 40219216259. The next prime is 40219216333. The reversal of 40219216320 is 2361291204.

It is a super-2 number, since 2×40219216320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17262 + ... + 284141.

It is an arithmetic number, because the mean of its divisors is an integer number (1148349240).

Almost surely, 2^40219216320 is an apocalyptic number.

40219216320 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 40219216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64307557440).

40219216320 is an abundant number, since it is smaller than the sum of its proper divisors (88395898560).

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

40219216320 is a wasteful number, since it uses less digits than its factorization.

40219216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301562 (or 301552 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 40219216320 in words is "forty billion, two hundred nineteen million, two hundred sixteen thousand, three hundred twenty".