40061583360 has 360 divisors, whose sum is σ = 141122488416. Its totient is φ = 10510663680.

The previous prime is 40061583329. The next prime is 40061583377. The reversal of 40061583360 is 6338516004.

40061583360 is a `hidden beast` number, since 4 + 0 + 0 + 615 + 8 + 3 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×40061583360² (a number of 22 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49397355 + ... + 49398165.

Almost surely, 2^40061583360 is an apocalyptic number.

40061583360 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 40061583360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70561244208).

40061583360 is an abundant number, since it is smaller than the sum of its proper divisors (101060905056).

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

40061583360 is an equidigital number, since it uses as much as digits as its factorization.

40061583360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 40061583360 in words is "forty billion, sixty-one million, five hundred eighty-three thousand, three hundred sixty".