1996908134400 has 675 divisors, whose sum is σ = 7477906938229. Its totient is φ = 509356277760.

The previous prime is 1996908134339. The next prime is 1996908134447. The reversal of 1996908134400 is 44318096991.

It is a happy number.

The square root of 1996908134400 is 1413120.

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

1996908134400 is a `hidden beast` number, since 19 + 9 + 6 + 90 + 8 + 134 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 718886928384 + 1278021206016 = 847872^2 + 1130496^2 .

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, 86822092789 + ... + 86822092811.

Almost surely, 2^{1996908134400} is an apocalyptic number.

1996908134400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1996908134400 is the 1413120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1996908134400

1996908134400 is an abundant number, since it is smaller than the sum of its proper divisors (5480998803829).

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

1996908134400 is an frugal number, since it uses more digits than its factorization.

1996908134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 1996908134400 in words is "one trillion, nine hundred ninety-six billion, nine hundred eight million, one hundred thirty-four thousand, four hundred".