1036405440 has 336 divisors, whose sum is σ = 4122480960. Its totient is φ = 234086400.

The previous prime is 1036405429. The next prime is 1036405453. The reversal of 1036405440 is 445046301.

1036405440 is a `hidden beast` number, since 10 + 3 + 640 + 5 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×1036405440³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2035906 + ... + 2036414.

Almost surely, 2^1036405440 is an apocalyptic number.

1036405440 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 1036405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061240480).

1036405440 is an abundant number, since it is smaller than the sum of its proper divisors (3086075520).

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

1036405440 is a wasteful number, since it uses less digits than its factorization.

1036405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1036405440 is about 32193.2514667282. The cubic root of 1036405440 is about 1011.9907928776.

The spelling of 1036405440 in words is "one billion, thirty-six million, four hundred five thousand, four hundred forty".