4774957208400 has 240 divisors, whose sum is σ = 15345947546496. Its totient is φ = 1269151580160.

The previous prime is 4774957208383. The next prime is 4774957208401. The reversal of 4774957208400 is 48027594774.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4774957208400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4774957208401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619878949 + ... + 619886651.

Almost surely, 2^{4774957208400} is an apocalyptic number.

4774957208400 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 4774957208400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7672973773248).

4774957208400 is an abundant number, since it is smaller than the sum of its proper divisors (10570990338096).

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

4774957208400 is a wasteful number, since it uses less digits than its factorization.

4774957208400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9350 (or 9339 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 4774957208400 in words is "four trillion, seven hundred seventy-four billion, nine hundred fifty-seven million, two hundred eight thousand, four hundred".