40458085404 has 192 divisors, whose sum is σ = 110760168960. Its totient is φ = 11364986880.

The previous prime is 40458085391. The next prime is 40458085417.

40458085404 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (40458085391) and next prime (40458085417).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 25081702 + ... + 25083314.

It is an arithmetic number, because the mean of its divisors is an integer number (576875880).

Almost surely, 2^40458085404 is an apocalyptic number.

40458085404 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 40458085404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55380084480).

40458085404 is an abundant number, since it is smaller than the sum of its proper divisors (70302083556).

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

40458085404 is a wasteful number, since it uses less digits than its factorization.

40458085404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 42.

It can be divided in two parts, 404580 and 85404, that added together give a palindrome (489984).

The spelling of 40458085404 in words is "forty billion, four hundred fifty-eight million, eighty-five thousand, four hundred four".