4957401200 has 120 divisors (see below), whose sum is σ = 12249336528. Its totient is φ = 1926973440.

The previous prime is 4957401173. The next prime is 4957401247. The reversal of 4957401200 is 21047594.

It is a happy number.

It is a super-2 number, since 2×4957401200² = 49151653315522880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4006982 + ... + 4008218.

Almost surely, 2^4957401200 is an apocalyptic number.

4957401200 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 4957401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6124668264).

4957401200 is an abundant number, since it is smaller than the sum of its proper divisors (7291935328).

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

4957401200 is a wasteful number, since it uses less digits than its factorization.

4957401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 4957401200 is about 70408.8147890589. The cubic root of 4957401200 is about 1705.1058949316.

Adding to 4957401200 its reverse (21047594), we get a palindrome (4978448794).

The spelling of 4957401200 in words is "four billion, nine hundred fifty-seven million, four hundred one thousand, two hundred".