1081696246400 has 1152 divisors, whose sum is σ = 3514649512320. Its totient is φ = 327849984000.

The previous prime is 1081696246373. The next prime is 1081696246417. The reversal of 1081696246400 is 46426961801.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14817756764 + ... + 14817756836.

It is an arithmetic number, because the mean of its divisors is an integer number (3050911035).

Almost surely, 2^{1081696246400} is an apocalyptic number.

1081696246400 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 1081696246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757324756160).

1081696246400 is an abundant number, since it is smaller than the sum of its proper divisors (2432953265920).

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

1081696246400 is an equidigital number, since it uses as much as digits as its factorization.

1081696246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 1081696246400 in words is "one trillion, eighty-one billion, six hundred ninety-six million, two hundred forty-six thousand, four hundred".