1089328640400 has 2880 divisors, whose sum is σ = 5478146519040. Its totient is φ = 199264665600.

The previous prime is 1089328640303. The next prime is 1089328640419. The reversal of 1089328640400 is 40468239801.

It is a happy number.

1089328640400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3232429032 + ... + 3232429368.

It is an arithmetic number, because the mean of its divisors is an integer number (1902134208).

Almost surely, 2^{1089328640400} is an apocalyptic number.

1089328640400 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 1089328640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739073259520).

1089328640400 is an abundant number, since it is smaller than the sum of its proper divisors (4388817878640).

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

1089328640400 is a wasteful number, since it uses less digits than its factorization.

1089328640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1089328640400 in words is "one trillion, eighty-nine billion, three hundred twenty-eight million, six hundred forty thousand, four hundred".