4677271290000 has 825 divisors, whose sum is σ = 17179116073933. Its totient is φ = 1233258048000.

The previous prime is 4677271289993. The next prime is 4677271290011. The reversal of 4677271290000 is 921727764.

The square root of 4677271290000 is 2162700.

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

It can be written as a sum of positive squares in 7 ways, for example, as 4543701507216 + 133569782784 = 2131596^2 + 365472^2 .

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 164 ways as a sum of consecutive naturals, for example, 52553609956 + ... + 52553610044.

Almost surely, 2^{4677271290000} is an apocalyptic number.

4677271290000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4677271290000 is the 2162700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4677271290000

4677271290000 is an abundant number, since it is smaller than the sum of its proper divisors (12501844783933).

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

4677271290000 is an frugal number, since it uses more digits than its factorization.

4677271290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 4677271290000 in words is "four trillion, six hundred seventy-seven billion, two hundred seventy-one million, two hundred ninety thousand".