1074436440 has 384 divisors, whose sum is σ = 4186805760. Its totient is φ = 216057600.

The previous prime is 1074436369. The next prime is 1074436459. The reversal of 1074436440 is 446344701.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 34659225 + ... + 34659255.

It is an arithmetic number, because the mean of its divisors is an integer number (10903140).

Almost surely, 2^1074436440 is an apocalyptic number.

1074436440 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 1074436440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093402880).

1074436440 is an abundant number, since it is smaller than the sum of its proper divisors (3112369320).

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

1074436440 is a wasteful number, since it uses less digits than its factorization.

1074436440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 1074436440 is about 32778.5972854239. The cubic root of 1074436440 is about 1024.2207648814.

The spelling of 1074436440 in words is "one billion, seventy-four million, four hundred thirty-six thousand, four hundred forty".