4000670400400 has 30 divisors (see below), whose sum is σ = 9611610637922. Its totient is φ = 1600268160000.

The previous prime is 4000670400379. The next prime is 4000670400407. The reversal of 4000670400400 is 40040760004.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 453203625616 + 3547466774784 = 673204^2 + 1883472^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4000670400407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5000837601 + ... + 5000838400.

Almost surely, 2^{4000670400400} is an apocalyptic number.

4000670400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000670400400 is an abundant number, since it is smaller than the sum of its proper divisors (5610940237522).

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

4000670400400 is a wasteful number, since it uses less digits than its factorization.

4000670400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10001676019 (or 10001676008 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The spelling of 4000670400400 in words is "four trillion, six hundred seventy million, four hundred thousand, four hundred".