40611031680 has 256 divisors, whose sum is σ = 140660121600. Its totient is φ = 9928396800.

The previous prime is 40611031679. The next prime is 40611031733. The reversal of 40611031680 is 8613011604.

It is a super-2 number, since 2×40611031680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112925 + ... + 1148835.

It is an arithmetic number, because the mean of its divisors is an integer number (549453600).

Almost surely, 2^40611031680 is an apocalyptic number.

40611031680 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 40611031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70330060800).

40611031680 is an abundant number, since it is smaller than the sum of its proper divisors (100049089920).

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

40611031680 is a wasteful number, since it uses less digits than its factorization.

40611031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35983 (or 35971 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 40611031680 in words is "forty billion, six hundred eleven million, thirty-one thousand, six hundred eighty".