40520238480 has 480 divisors, whose sum is σ = 147833618400. Its totient is φ = 9909043200.

The previous prime is 40520238457. The next prime is 40520238491. The reversal of 40520238480 is 8483202504.

40520238480 is a `hidden beast` number, since 405 + 202 + 3 + 8 + 48 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 181926144 + 40338312336 = 13488^2 + 200844^2 .

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

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 95 ways as a sum of consecutive naturals, for example, 90245296 + ... + 90245744.

It is an arithmetic number, because the mean of its divisors is an integer number (307986705).

Almost surely, 2^40520238480 is an apocalyptic number.

40520238480 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 40520238480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73916809200).

40520238480 is an abundant number, since it is smaller than the sum of its proper divisors (107313379920).

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

40520238480 is a wasteful number, since it uses less digits than its factorization.

40520238480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 40520238480 in words is "forty billion, five hundred twenty million, two hundred thirty-eight thousand, four hundred eighty".