40229667840 has 352 divisors, whose sum is σ = 134145379584. Its totient is φ = 10280632320.

The previous prime is 40229667827. The next prime is 40229667847. The reversal of 40229667840 is 4876692204.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40229667840.

It is not an unprimeable number, because it can be changed into a prime (40229667847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40350222 + ... + 40351218.

Almost surely, 2^40229667840 is an apocalyptic number.

40229667840 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 40229667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67072689792).

40229667840 is an abundant number, since it is smaller than the sum of its proper divisors (93915711744).

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

40229667840 is a wasteful number, since it uses less digits than its factorization.

40229667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 40229667840 in words is "forty billion, two hundred twenty-nine million, six hundred sixty-seven thousand, eight hundred forty".