40608455580 has 288 divisors, whose sum is σ = 158529466368. Its totient is φ = 8165836800.

The previous prime is 40608455579. The next prime is 40608455581. The reversal of 40608455580 is 8555480604.

40608455580 is a `hidden beast` number, since 4 + 0 + 60 + 8 + 4 + 5 + 5 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (40608455579) and next prime (40608455581).

It is a super-3 number, since 3×40608455580³ (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40608455581) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 382404 + ... + 476916.

It is an arithmetic number, because the mean of its divisors is an integer number (550449536).

Almost surely, 2^40608455580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40608455580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79264733184).

40608455580 is an abundant number, since it is smaller than the sum of its proper divisors (117921010788).

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

40608455580 is a wasteful number, since it uses less digits than its factorization.

40608455580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94577 (or 94572 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 40608455580 in words is "forty billion, six hundred eight million, four hundred fifty-five thousand, five hundred eighty".