40520269440 has 896 divisors, whose sum is σ = 174988425600. Its totient is φ = 8760877056.

The previous prime is 40520269417. The next prime is 40520269451. The reversal of 40520269440 is 4496202504.

40520269440 is a `hidden beast` number, since 4 + 0 + 5 + 202 + 6 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40520269395 and 40520269404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 62052154 + ... + 62052806.

Almost surely, 2^40520269440 is an apocalyptic number.

40520269440 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 40520269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494212800).

40520269440 is an abundant number, since it is smaller than the sum of its proper divisors (134468156160).

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

40520269440 is an equidigital number, since it uses as much as digits as its factorization.

40520269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 40520269440 in words is "forty billion, five hundred twenty million, two hundred sixty-nine thousand, four hundred forty".