1088942400 has 672 divisors, whose sum is σ = 4903297280. Its totient is φ = 228925440.

The previous prime is 1088942377. The next prime is 1088942419. The reversal of 1088942400 is 42498801.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-4 number, since 4×1088942400⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3931062 + ... + 3931338.

Almost surely, 2^1088942400 is an apocalyptic number.

1088942400 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 1088942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451648640).

1088942400 is an abundant number, since it is smaller than the sum of its proper divisors (3814354880).

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

1088942400 is a wasteful number, since it uses less digits than its factorization.

1088942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1088942400 is about 32999.1272611868. The cubic root of 1088942400 is about 1028.8095083803.

The spelling of 1088942400 in words is "one billion, eighty-eight million, nine hundred forty-two thousand, four hundred".