4971638400 has 192 divisors, whose sum is σ = 16523853120. Its totient is φ = 1313751040.

The previous prime is 4971638377. The next prime is 4971638407. The reversal of 4971638400 is 48361794.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×4971638400³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4971638407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1082509 + ... + 1087091.

It is an arithmetic number, because the mean of its divisors is an integer number (86061735).

Almost surely, 2^4971638400 is an apocalyptic number.

4971638400 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 4971638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8261926560).

4971638400 is an abundant number, since it is smaller than the sum of its proper divisors (11552214720).

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

4971638400 is a wasteful number, since it uses less digits than its factorization.

4971638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4723 (or 4706 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 4971638400 is about 70509.8461209497. The cubic root of 4971638400 is about 1706.7366372137.

The spelling of 4971638400 in words is "four billion, nine hundred seventy-one million, six hundred thirty-eight thousand, four hundred".