4666420000400 has 60 divisors (see below), whose sum is σ = 11352986457600. Its totient is φ = 1842940544640.

The previous prime is 4666420000399. The next prime is 4666420000439. The reversal of 4666420000400 is 40000246664.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73804160 + ... + 73867359.

It is an arithmetic number, because the mean of its divisors is an integer number (189216440960).

Almost surely, 2^{4666420000400} is an apocalyptic number.

4666420000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4666420000400 is an abundant number, since it is smaller than the sum of its proper divisors (6686566457200).

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

4666420000400 is a wasteful number, since it uses less digits than its factorization.

4666420000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147671616 (or 147671605 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 4666420000400 in words is "four trillion, six hundred sixty-six billion, four hundred twenty million, four hundred", and thus it is an aban number.