4942512000 has 512 divisors, whose sum is σ = 19304438400. Its totient is φ = 1238630400.

The previous prime is 4942511957. The next prime is 4942512019. The reversal of 4942512000 is 2152494.

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 63 ways as a sum of consecutive naturals, for example, 7343664 + ... + 7344336.

Almost surely, 2^4942512000 is an apocalyptic number.

4942512000 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 4942512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9652219200).

4942512000 is an abundant number, since it is smaller than the sum of its proper divisors (14361926400).

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

4942512000 is a wasteful number, since it uses less digits than its factorization.

4942512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4942512000 is about 70303.0013584057. The cubic root of 4942512000 is about 1703.3971285278.

Adding to 4942512000 its reverse (2152494), we get a palindrome (4944664494).

It can be divided in two parts, 49425 and 12000, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 4942512000 in words is "four billion, nine hundred forty-two million, five hundred twelve thousand".