40861509480 has 384 divisors, whose sum is σ = 150745795200. Its totient is φ = 9872409600.

The previous prime is 40861509457. The next prime is 40861509499. The reversal of 40861509480 is 8490516804.

40861509480 is a `hidden beast` number, since 4 + 0 + 8 + 61 + 509 + 4 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49289706 + ... + 49290534.

It is an arithmetic number, because the mean of its divisors is an integer number (392567175).

Almost surely, 2^40861509480 is an apocalyptic number.

40861509480 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 40861509480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75372897600).

40861509480 is an abundant number, since it is smaller than the sum of its proper divisors (109884285720).

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

40861509480 is a wasteful number, since it uses less digits than its factorization.

40861509480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 40861509480 in words is "forty billion, eight hundred sixty-one million, five hundred nine thousand, four hundred eighty".