1021069830400 has 243 divisors, whose sum is σ = 2688335731291. Its totient is φ = 383885393920.

The previous prime is 1021069830379. The next prime is 1021069830437. The reversal of 1021069830400 is 40389601201.

The square root of 1021069830400 is 1010480.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23883847936 + 997185982464 = 154544^2 + 998592^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1374252429 + ... + 1374253171.

Almost surely, 2^{1021069830400} is an apocalyptic number.

1021069830400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1021069830400 is the 1010480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021069830400

1021069830400 is an abundant number, since it is smaller than the sum of its proper divisors (1667265900891).

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

1021069830400 is an frugal number, since it uses more digits than its factorization.

1021069830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The spelling of 1021069830400 in words is "one trillion, twenty-one billion, sixty-nine million, eight hundred thirty thousand, four hundred".