40461180480 has 1792 divisors, whose sum is σ = 189609984000. Its totient is φ = 7902461952.

The previous prime is 40461180467. The next prime is 40461180493. The reversal of 40461180480 is 8408116404.

40461180480 is a `hidden beast` number, since 40 + 4 + 61 + 1 + 80 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (40461180467) and next prime (40461180493).

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

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 255 ways as a sum of consecutive naturals, for example, 685782691 + ... + 685782749.

Almost surely, 2^40461180480 is an apocalyptic number.

40461180480 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 40461180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94804992000).

40461180480 is an abundant number, since it is smaller than the sum of its proper divisors (149148803520).

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

40461180480 is a wasteful number, since it uses less digits than its factorization.

40461180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

Adding to 40461180480 its reverse (8408116404), we get a palindrome (48869296884).

The spelling of 40461180480 in words is "forty billion, four hundred sixty-one million, one hundred eighty thousand, four hundred eighty".