4912034400 has 1440 divisors, whose sum is σ = 23820350400. Its totient is φ = 975421440.

The previous prime is 4912034377. The next prime is 4912034411. The reversal of 4912034400 is 44302194.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 288943192 + ... + 288943208.

It is an arithmetic number, because the mean of its divisors is an integer number (16541910).

Almost surely, 2^4912034400 is an apocalyptic number.

4912034400 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 4912034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11910175200).

4912034400 is an abundant number, since it is smaller than the sum of its proper divisors (18908316000).

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

4912034400 is a wasteful number, since it uses less digits than its factorization.

4912034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4912034400 is about 70085.9072852738. The cubic root of 4912034400 is about 1699.8886201538. Note that the first 3 decimals are identical.

Adding to 4912034400 its reverse (44302194), we get a palindrome (4956336594).

The spelling of 4912034400 in words is "four billion, nine hundred twelve million, thirty-four thousand, four hundred".