1914293616400 has 405 divisors, whose sum is σ = 5351432277429. Its totient is φ = 657477216000.

The previous prime is 1914293616383. The next prime is 1914293616401. The reversal of 1914293616400 is 46163924191.

The square root of 1914293616400 is 1383580.

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., 689145701904 + 1225147914496 = 830148^2 + 1106864^2 .

It is not an unprimeable number, because it can be changed into a prime (1914293616401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5783364235 + ... + 5783364565.

Almost surely, 2^{1914293616400} is an apocalyptic number.

1914293616400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1914293616400 is the 1383580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1914293616400

1914293616400 is an abundant number, since it is smaller than the sum of its proper divisors (3437138661029).

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

1914293616400 is a wasteful number, since it uses less digits than its factorization.

1914293616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The spelling of 1914293616400 in words is "one trillion, nine hundred fourteen billion, two hundred ninety-three million, six hundred sixteen thousand, four hundred".