4006006400400 has 120 divisors (see below), whose sum is σ = 12833676806400. Its totient is φ = 1068176555520.

The previous prime is 4006006400393. The next prime is 4006006400401. The reversal of 4006006400400 is 40046006004.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (4006006400401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14441409 + ... + 14716191.

It is an arithmetic number, because the mean of its divisors is an integer number (106947306720).

Almost surely, 2^{4006006400400} is an apocalyptic number.

4006006400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4006006400400 is an abundant number, since it is smaller than the sum of its proper divisors (8827670406000).

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

4006006400400 is a wasteful number, since it uses less digits than its factorization.

4006006400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286953 (or 286942 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 4006006400400 in words is "four trillion, six billion, six million, four hundred thousand, four hundred".