1073512440 has 640 divisors, whose sum is σ = 4859205120. Its totient is φ = 205286400.

The previous prime is 1073512439. The next prime is 1073512457. The reversal of 1073512440 is 442153701.

1073512440 is a `hidden beast` number, since 107 + 3 + 512 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3243075 + ... + 3243405.

It is an arithmetic number, because the mean of its divisors is an integer number (7592508).

Almost surely, 2^1073512440 is an apocalyptic number.

1073512440 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 1073512440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429602560).

1073512440 is an abundant number, since it is smaller than the sum of its proper divisors (3785692680).

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

1073512440 is a wasteful number, since it uses less digits than its factorization.

1073512440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1073512440 is about 32764.4996909765. The cubic root of 1073512440 is about 1023.9270755970.

The spelling of 1073512440 in words is "one billion, seventy-three million, five hundred twelve thousand, four hundred forty".