4540785951744 has 825 divisors, whose sum is σ = 15924132350511. Its totient is φ = 1288775577600.

The previous prime is 4540785951727. The next prime is 4540785951763. The reversal of 4540785951744 is 4471595870454.

It is a happy number.

The square root of 4540785951744 is 2130912.

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

4540785951744 is a `hidden beast` number, since 4 + 5 + 4 + 0 + 78 + 5 + 9 + 517 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 30071430069 + ... + 30071430219.

Almost surely, 2^{4540785951744} is an apocalyptic number.

4540785951744 is the 2130912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4540785951744

4540785951744 is an abundant number, since it is smaller than the sum of its proper divisors (11383346398767).

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

4540785951744 is an frugal number, since it uses more digits than its factorization.

4540785951744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 4540785951744 in words is "four trillion, five hundred forty billion, seven hundred eighty-five million, nine hundred fifty-one thousand, seven hundred forty-four".