1493269866400 has 288 divisors, whose sum is σ = 4101614979840. Its totient is φ = 526737530880.

The previous prime is 1493269866391. The next prime is 1493269866467. The reversal of 1493269866400 is 46689623941.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 219821404 + ... + 219828196.

It is an arithmetic number, because the mean of its divisors is an integer number (14241718680).

Almost surely, 2^{1493269866400} is an apocalyptic number.

1493269866400 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 1493269866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050807489920).

1493269866400 is an abundant number, since it is smaller than the sum of its proper divisors (2608345113440).

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

1493269866400 is a wasteful number, since it uses less digits than its factorization.

1493269866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7768 (or 7755 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 58.

The spelling of 1493269866400 in words is "one trillion, four hundred ninety-three billion, two hundred sixty-nine million, eight hundred sixty-six thousand, four hundred".