400433642004 has 48 divisors (see below), whose sum is σ = 1063602408960. Its totient is φ = 116067721440.

The previous prime is 400433641969. The next prime is 400433642039. The reversal of 400433642004 is 400246334004.

It is an interprime number because it is at equal distance from previous prime (400433641969) and next prime (400433642039).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65944534 + ... + 65950605.

It is an arithmetic number, because the mean of its divisors is an integer number (22158383520).

Almost surely, 2^400433642004 is an apocalyptic number.

400433642004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400433642004 is an abundant number, since it is smaller than the sum of its proper divisors (663168766956).

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

400433642004 is a wasteful number, since it uses less digits than its factorization.

400433642004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131895180 (or 131895178 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 400433642004 its reverse (400246334004), we get a palindrome (800679976008).

The spelling of 400433642004 in words is "four hundred billion, four hundred thirty-three million, six hundred forty-two thousand, four".