1093290490400 has 72 divisors (see below), whose sum is σ = 2670381365904. Its totient is φ = 437089107200.

The previous prime is 1093290490393. The next prime is 1093290490463. The reversal of 1093290490400 is 40940923901.

1093290490400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1190939 + ... + 1898661.

It is an arithmetic number, because the mean of its divisors is an integer number (37088630082).

Almost surely, 2^{1093290490400} is an apocalyptic number.

1093290490400 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 1093290490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335190682952).

1093290490400 is an abundant number, since it is smaller than the sum of its proper divisors (1577090875504).

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

1093290490400 is a wasteful number, since it uses less digits than its factorization.

1093290490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709674 (or 709661 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The spelling of 1093290490400 in words is "one trillion, ninety-three billion, two hundred ninety million, four hundred ninety thousand, four hundred".