1994365328400 has 135 divisors (see below), whose sum is σ = 6921295740151. Its totient is φ = 531808158720.

The previous prime is 1994365328393. The next prime is 1994365328429. The reversal of 1994365328400 is 48235634991.

The square root of 1994365328400 is 1412220.

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

1994365328400 is a `hidden beast` number, since 19 + 94 + 3 + 6 + 532 + 8 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 195891219216 + 1798474109184 = 442596^2 + 1341072^2 .

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, 84721432 + ... + 84744968.

Almost surely, 2^{1994365328400} is an apocalyptic number.

1994365328400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1994365328400 is the 1412220-th square number.

It is an amenable number.

1994365328400 is an abundant number, since it is smaller than the sum of its proper divisors (4926930411751).

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

1994365328400 is an frugal number, since it uses more digits than its factorization.

1994365328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47098 (or 23547 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 1994365328400 in words is "one trillion, nine hundred ninety-four billion, three hundred sixty-five million, three hundred twenty-eight thousand, four hundred".