1338723494400 has 240 divisors, whose sum is σ = 4446845571168. Its totient is φ = 355018752000.

The previous prime is 1338723494351. The next prime is 1338723494413. The reversal of 1338723494400 is 44943278331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1338723494400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6854095 + ... + 7046705.

Almost surely, 2^{1338723494400} is an apocalyptic number.

1338723494400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1338723494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223422785584).

1338723494400 is an abundant number, since it is smaller than the sum of its proper divisors (3108122076768).

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

1338723494400 is a wasteful number, since it uses less digits than its factorization.

1338723494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192823 (or 192802 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 1338723494400 in words is "one trillion, three hundred thirty-eight billion, seven hundred twenty-three million, four hundred ninety-four thousand, four hundred".