400042404600 has 192 divisors, whose sum is σ = 1308972172800. Its totient is φ = 100786913280.

The previous prime is 400042404599. The next prime is 400042404649. The reversal of 400042404600 is 6404240004.

It is a super-3 number, since 3×400042404600³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 4135992 + ... + 4231608.

It is an arithmetic number, because the mean of its divisors is an integer number (6817563400).

Almost surely, 2^400042404600 is an apocalyptic number.

400042404600 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 400042404600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654486086400).

400042404600 is an abundant number, since it is smaller than the sum of its proper divisors (908929768200).

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

400042404600 is a wasteful number, since it uses less digits than its factorization.

400042404600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96022 (or 96013 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 400042404600 its reverse (6404240004), we get a palindrome (406446644604).

The spelling of 400042404600 in words is "four hundred billion, forty-two million, four hundred four thousand, six hundred".