1074781440 has 288 divisors, whose sum is σ = 3858744960. Its totient is φ = 283262976.

The previous prime is 1074781423. The next prime is 1074781459. The reversal of 1074781440 is 441874701.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1074781395 and 1074781404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4734607 + ... + 4734833.

It is an arithmetic number, because the mean of its divisors is an integer number (13398420).

Almost surely, 2^1074781440 is an apocalyptic number.

1074781440 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 1074781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1929372480).

1074781440 is an abundant number, since it is smaller than the sum of its proper divisors (2783963520).

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

1074781440 is a wasteful number, since it uses less digits than its factorization.

1074781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 1074781440 is about 32783.8594433297. The cubic root of 1074781440 is about 1024.3303784229.

The spelling of 1074781440 in words is "one billion, seventy-four million, seven hundred eighty-one thousand, four hundred forty".