40434412410420 has 192 divisors, whose sum is σ = 129520228024320. Its totient is φ = 9232862588928.

The previous prime is 40434412410391. The next prime is 40434412410433. The reversal of 40434412410420 is 2401421443404.

40434412410420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2085635967 + ... + 2085655353.

It is an arithmetic number, because the mean of its divisors is an integer number (674584520960).

Almost surely, 2^{40434412410420} is an apocalyptic number.

It is an amenable number.

40434412410420 is an abundant number, since it is smaller than the sum of its proper divisors (89085815613900).

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

40434412410420 is a wasteful number, since it uses less digits than its factorization.

40434412410420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24142 (or 24140 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 40434412410420 its reverse (2401421443404), we get a palindrome (42835833853824).

The spelling of 40434412410420 in words is "forty trillion, four hundred thirty-four billion, four hundred twelve million, four hundred ten thousand, four hundred twenty".