1081401070400 has 336 divisors, whose sum is σ = 3154085030400. Its totient is φ = 364676659200.

The previous prime is 1081401070381. The next prime is 1081401070417. The reversal of 1081401070400 is 40701041801.

It is a self number, because there is not a number n which added to its sum of digits gives 1081401070400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33460649 + ... + 33492951.

Almost surely, 2^{1081401070400} is an apocalyptic number.

1081401070400 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 1081401070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577042515200).

1081401070400 is an abundant number, since it is smaller than the sum of its proper divisors (2072683960000).

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

1081401070400 is an equidigital number, since it uses as much as digits as its factorization.

1081401070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32407 (or 32378 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The spelling of 1081401070400 in words is "one trillion, eighty-one billion, four hundred one million, seventy thousand, four hundred".