40481239680 has 768 divisors, whose sum is σ = 164950156800. Its totient is φ = 8957952000.

The previous prime is 40481239661. The next prime is 40481239691. The reversal of 40481239680 is 8693218404.

It is a happy number.

40481239680 is a `hidden beast` number, since 4 + 0 + 481 + 2 + 3 + 96 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 268087605 + ... + 268087755.

It is an arithmetic number, because the mean of its divisors is an integer number (214778850).

Almost surely, 2^40481239680 is an apocalyptic number.

40481239680 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 40481239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82475078400).

40481239680 is an abundant number, since it is smaller than the sum of its proper divisors (124468917120).

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

40481239680 is a wasteful number, since it uses less digits than its factorization.

40481239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 40481239680 in words is "forty billion, four hundred eighty-one million, two hundred thirty-nine thousand, six hundred eighty".