40217342928 has 80 divisors (see below), whose sum is σ = 119020715520. Its totient is φ = 11463205248.

The previous prime is 40217342927. The next prime is 40217342981. The reversal of 40217342928 is 82924371204.

It is a super-2 number, since 2×40217342928² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 40217342928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40217342927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2050 + ... + 283617.

It is an arithmetic number, because the mean of its divisors is an integer number (1487758944).

Almost surely, 2^40217342928 is an apocalyptic number.

40217342928 is a gapful number since it is divisible by the number (48) 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 40217342928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59510357760).

40217342928 is an abundant number, since it is smaller than the sum of its proper divisors (78803372592).

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

40217342928 is a wasteful number, since it uses less digits than its factorization.

40217342928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286104 (or 286098 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 40217342928 in words is "forty billion, two hundred seventeen million, three hundred forty-two thousand, nine hundred twenty-eight".