40420404204432 has 160 divisors (see below), whose sum is σ = 120993571749120. Its totient is φ = 11388377088000.

The previous prime is 40420404204409. The next prime is 40420404204451. The reversal of 40420404204432 is 23440240402404.

It is a junction number, because it is equal to n+sod(n) for n = 40420404204393 and 40420404204402.

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, 134778744 + ... + 135078312.

It is an arithmetic number, because the mean of its divisors is an integer number (756209823432).

Almost surely, 2^{40420404204432} is an apocalyptic number.

40420404204432 is a gapful number since it is divisible by the number (42) 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 40420404204432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60496785874560).

40420404204432 is an abundant number, since it is smaller than the sum of its proper divisors (80573167544688).

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

40420404204432 is a wasteful number, since it uses less digits than its factorization.

40420404204432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305161 (or 305155 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 40420404204432 its reverse (23440240402404), we get a palindrome (63860644606836).

The spelling of 40420404204432 in words is "forty trillion, four hundred twenty billion, four hundred four million, two hundred four thousand, four hundred thirty-two".