4942053600 has 288 divisors, whose sum is σ = 17695117440. Its totient is φ = 1188096000.

The previous prime is 4942053583. The next prime is 4942053617. The reversal of 4942053600 is 63502494.

It is an interprime number because it is at equal distance from previous prime (4942053583) and next prime (4942053617).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 3457686 + ... + 3459114.

It is an arithmetic number, because the mean of its divisors is an integer number (61441380).

Almost surely, 2^4942053600 is an apocalyptic number.

4942053600 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 4942053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8847558720).

4942053600 is an abundant number, since it is smaller than the sum of its proper divisors (12753063840).

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

4942053600 is a wasteful number, since it uses less digits than its factorization.

4942053600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 4942053600 is about 70299.7411090539. The cubic root of 4942053600 is about 1703.3444656049.

The spelling of 4942053600 in words is "four billion, nine hundred forty-two million, fifty-three thousand, six hundred".