400067004000 has 96 divisors (see below), whose sum is σ = 1310619544416. Its totient is φ = 106684531200.

The previous prime is 400067003981. The next prime is 400067004019. The reversal of 400067004000 is 400760004.

It is an interprime number because it is at equal distance from previous prime (400067003981) and next prime (400067004019).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16657459 + ... + 16681458.

It is an arithmetic number, because the mean of its divisors is an integer number (13652286921).

Almost surely, 2^400067004000 is an apocalyptic number.

400067004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400067004000 is an abundant number, since it is smaller than the sum of its proper divisors (910552540416).

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

400067004000 is a wasteful number, since it uses less digits than its factorization.

400067004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33338945 (or 33338927 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

Adding to 400067004000 its reverse (400760004), we get a palindrome (400467764004).

The spelling of 400067004000 in words is "four hundred billion, sixty-seven million, four thousand".