1089451440 has 480 divisors, whose sum is σ = 4677843456. Its totient is φ = 220631040.

The previous prime is 1089451427. The next prime is 1089451453. The reversal of 1089451440 is 441549801.

1089451440 is a `hidden beast` number, since 10 + 8 + 94 + 514 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1089451427) and next prime (1089451453).

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

It is a junction number, because it is equal to n+sod(n) for n = 1089451395 and 1089451404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2383692 + ... + 2384148.

Almost surely, 2^1089451440 is an apocalyptic number.

1089451440 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 1089451440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338921728).

1089451440 is an abundant number, since it is smaller than the sum of its proper divisors (3588392016).

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

1089451440 is a wasteful number, since it uses less digits than its factorization.

1089451440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1089451440 is about 33006.8392912742. The cubic root of 1089451440 is about 1028.9697934450.

The spelling of 1089451440 in words is "one billion, eighty-nine million, four hundred fifty-one thousand, four hundred forty".