1021716640000 has 675 divisors, whose sum is σ = 3129263351907. Its totient is φ = 331865856000.

The previous prime is 1021716639997. The next prime is 1021716640027. The reversal of 1021716640000 is 466171201.

The square root of 1021716640000 is 1010800.

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

It can be written as a sum of positive squares in 2 ways, for example, as 80102584576 + 941614055424 = 283024^2 + 970368^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 53774559991 + ... + 53774560009.

Almost surely, 2^{1021716640000} is an apocalyptic number.

1021716640000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1021716640000 is the 1010800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021716640000

1021716640000 is an abundant number, since it is smaller than the sum of its proper divisors (2107546711907).

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

1021716640000 is an frugal number, since it uses more digits than its factorization.

1021716640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 1021716640000 in words is "one trillion, twenty-one billion, seven hundred sixteen million, six hundred forty thousand".