4812538406400 has 1680 divisors, whose sum is σ = 18740939931648. Its totient is φ = 1222760448000.

The previous prime is 4812538406383. The next prime is 4812538406461. The reversal of 4812538406400 is 46048352184.

4812538406400 is a `hidden beast` number, since 4 + 8 + 12 + 538 + 40 + 64 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 36736934335 + ... + 36736934465.

Almost surely, 2^{4812538406400} is an apocalyptic number.

4812538406400 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 4812538406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9370469965824).

4812538406400 is an abundant number, since it is smaller than the sum of its proper divisors (13928401525248).

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

4812538406400 is a wasteful number, since it uses less digits than its factorization.

4812538406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 4812538406400 in words is "four trillion, eight hundred twelve billion, five hundred thirty-eight million, four hundred six thousand, four hundred".