4741475097600 has 1584 divisors, whose sum is σ = 18981298452480. Its totient is φ = 1169311334400.

The previous prime is 4741475097587. The next prime is 4741475097617. The reversal of 4741475097600 is 67905741474.

It is a happy number.

4741475097600 is a `hidden beast` number, since 4 + 74 + 1 + 4 + 7 + 509 + 7 + 60 + 0 = 666.

It is a super-2 number, since 2×4741475097600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4435429866 + ... + 4435430934.

Almost surely, 2^{4741475097600} is an apocalyptic number.

4741475097600 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 4741475097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9490649226240).

4741475097600 is an abundant number, since it is smaller than the sum of its proper divisors (14239823354880).

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

4741475097600 is a wasteful number, since it uses less digits than its factorization.

4741475097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 4741475097600 in words is "four trillion, seven hundred forty-one billion, four hundred seventy-five million, ninety-seven thousand, six hundred".