4951337025600 has 945 divisors, whose sum is σ = 21195280369197. Its totient is φ = 1130452485120.

The previous prime is 4951337025559. The next prime is 4951337025637. The reversal of 4951337025600 is 65207331594.

The square root of 4951337025600 is 2225160.

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

4951337025600 is a `hidden beast` number, since 4 + 9 + 5 + 1 + 3 + 37 + 0 + 2 + 5 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1782481329216 + 3168855696384 = 1335096^2 + 1780128^2 .

It is a tau number, because it is divible by the number of its divisors (945).

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5607402759 + ... + 5607403641.

Almost surely, 2^{4951337025600} is an apocalyptic number.

4951337025600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4951337025600 is the 2225160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4951337025600

4951337025600 is an abundant number, since it is smaller than the sum of its proper divisors (16243943343597).

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

4951337025600 is an frugal number, since it uses more digits than its factorization.

4951337025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1814 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 4951337025600 in words is "four trillion, nine hundred fifty-one billion, three hundred thirty-seven million, twenty-five thousand, six hundred".