4012493328400 has 60 divisors (see below), whose sum is σ = 9648852215184. Its totient is φ = 1603526032000.

The previous prime is 4012493328383. The next prime is 4012493328407. The reversal of 4012493328400 is 48233942104.

It is a super-5 number, since 5×4012493328400⁵ (a number of 64 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4012493328407) 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 11 ways as a sum of consecutive naturals, for example, 4160866 + ... + 5033665.

Almost surely, 2^{4012493328400} is an apocalyptic number.

4012493328400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4012493328400 is an abundant number, since it is smaller than the sum of its proper divisors (5636358886784).

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

4012493328400 is a wasteful number, since it uses less digits than its factorization.

4012493328400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9195640 (or 9195629 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 4012493328400 in words is "four trillion, twelve billion, four hundred ninety-three million, three hundred twenty-eight thousand, four hundred".