400004540435040 has 96 divisors (see below), whose sum is σ = 1334132790772320. Its totient is φ = 100393296420864.

The previous prime is 400004540435039. The next prime is 400004540435041. The reversal of 400004540435040 is 40534045400004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (400004540435039) and next prime (400004540435041).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×400004540435040³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400004540434992 and 400004540435010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400004540435041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24510073975 + ... + 24510090294.

It is an arithmetic number, because the mean of its divisors is an integer number (13897216570545).

Almost surely, 2^{400004540435040} is an apocalyptic number.

400004540435040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400004540435040 is an abundant number, since it is smaller than the sum of its proper divisors (934128250337280).

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

400004540435040 is a wasteful number, since it uses less digits than its factorization.

400004540435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49020164304 (or 49020164296 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 33.

Adding to 400004540435040 its reverse (40534045400004), we get a palindrome (440538585835044).

The spelling of 400004540435040 in words is "four hundred trillion, four billion, five hundred forty million, four hundred thirty-five thousand, forty".