4937195120400 has 405 divisors, whose sum is σ = 17758525865821. Its totient is φ = 1270190423040.

The previous prime is 4937195120359. The next prime is 4937195120447. The reversal of 4937195120400 is 40215917394.

The square root of 4937195120400 is 2221980.

It is a perfect power (a square), and thus also a powerful number.

4937195120400 is a `hidden beast` number, since 4 + 9 + 37 + 1 + 95 + 120 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2261065571856 + 2676129548544 = 1503684^2 + 1635888^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3866244562 + ... + 3866245838.

Almost surely, 2^{4937195120400} is an apocalyptic number.

4937195120400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4937195120400 is the 2221980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4937195120400

4937195120400 is an abundant number, since it is smaller than the sum of its proper divisors (12821330745421).

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

4937195120400 is a wasteful number, since it uses less digits than its factorization.

4937195120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 4937195120400 in words is "four trillion, nine hundred thirty-seven billion, one hundred ninety-five million, one hundred twenty thousand, four hundred".