40606080480 has 864 divisors, whose sum is σ = 170371289088. Its totient is φ = 8763955200.

The previous prime is 40606080443. The next prime is 40606080491. The reversal of 40606080480 is 8408060604.

40606080480 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 608 + 0 + 48 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 212597185 + ... + 212597375.

It is an arithmetic number, because the mean of its divisors is an integer number (197188992).

Almost surely, 2^40606080480 is an apocalyptic number.

40606080480 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 40606080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85185644544).

40606080480 is an abundant number, since it is smaller than the sum of its proper divisors (129765208608).

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

40606080480 is a wasteful number, since it uses less digits than its factorization.

40606080480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 40606080480 in words is "forty billion, six hundred six million, eighty thousand, four hundred eighty".