4912358400 has 660 divisors, whose sum is σ = 19165029312. Its totient is φ = 1240842240.

The previous prime is 4912358357. The next prime is 4912358417. The reversal of 4912358400 is 48532194.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 47692749 + ... + 47692851.

Almost surely, 2^4912358400 is an apocalyptic number.

4912358400 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 4912358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9582514656).

4912358400 is an abundant number, since it is smaller than the sum of its proper divisors (14252670912).

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

4912358400 is a wasteful number, since it uses less digits than its factorization.

4912358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4912358400 is about 70088.2186961546. The cubic root of 4912358400 is about 1699.9259944716.

The spelling of 4912358400 in words is "four billion, nine hundred twelve million, three hundred fifty-eight thousand, four hundred".