1521966342400 has 243 divisors, whose sum is σ = 4384132047981. Its totient is φ = 521580165120.

The previous prime is 1521966342371. The next prime is 1521966342431. The reversal of 1521966342400 is 42436691251.

The square root of 1521966342400 is 1233680.

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

It can be written as a sum of positive squares in only one way, i.e., 547907883264 + 974058459136 = 740208^2 + 986944^2 .

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, 690859699 + ... + 690861901.

Almost surely, 2^{1521966342400} is an apocalyptic number.

1521966342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1521966342400 is the 1233680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1521966342400

1521966342400 is an abundant number, since it is smaller than the sum of its proper divisors (2862165705581).

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

1521966342400 is an frugal number, since it uses more digits than its factorization.

1521966342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 1521966342400 in words is "one trillion, five hundred twenty-one billion, nine hundred sixty-six million, three hundred forty-two thousand, four hundred".