4012845320400 has 240 divisors, whose sum is σ = 14765414488704. Its totient is φ = 912565463040.

The previous prime is 4012845320371. The next prime is 4012845320417. The reversal of 4012845320400 is 40235482104.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4012845320400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442314 + ... + 2867286.

Almost surely, 2^{4012845320400} is an apocalyptic number.

4012845320400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4012845320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382707244352).

4012845320400 is an abundant number, since it is smaller than the sum of its proper divisors (10752569168304).

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

4012845320400 is a wasteful number, since it uses less digits than its factorization.

4012845320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425198 (or 2425187 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 4012845320400 in words is "four trillion, twelve billion, eight hundred forty-five million, three hundred twenty thousand, four hundred".