4081632293024 has 192 divisors, whose sum is σ = 9471974174208. Its totient is φ = 1706885913600.

The previous prime is 4081632293017. The next prime is 4081632293041. The reversal of 4081632293024 is 4203922361804.

It is a Cunningham number, because it is equal to 2020305²-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2598110159 + ... + 2598111729.

It is an arithmetic number, because the mean of its divisors is an integer number (49333198824).

Almost surely, 2^{4081632293024} is an apocalyptic number.

4081632293024 is a gapful number since it is divisible by the number (44) 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 4081632293024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4735987087104).

4081632293024 is an abundant number, since it is smaller than the sum of its proper divisors (5390341881184).

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

4081632293024 is a wasteful number, since it uses less digits than its factorization.

4081632293024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3131 (or 3123 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The spelling of 4081632293024 in words is "four trillion, eighty-one billion, six hundred thirty-two million, two hundred ninety-three thousand, twenty-four".