466566100201400 has 96 divisors (see below), whose sum is σ = 1096970937804000. Its totient is φ = 184526759915520.

The previous prime is 466566100201363. The next prime is 466566100201459. The reversal of 466566100201400 is 4102001665664.

It is a super-3 number, since 3×466566100201400³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1527923936 + ... + 1528229264.

It is an arithmetic number, because the mean of its divisors is an integer number (11426780602125).

Almost surely, 2^{466566100201400} is an apocalyptic number.

466566100201400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466566100201400 is an abundant number, since it is smaller than the sum of its proper divisors (630404837602600).

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

466566100201400 is a wasteful number, since it uses less digits than its factorization.

466566100201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391281 (or 391272 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 466566100201400 in words is "four hundred sixty-six trillion, five hundred sixty-six billion, one hundred million, two hundred one thousand, four hundred".