1051693440 has 256 divisors, whose sum is σ = 4057413120. Its totient is φ = 226197504.

The previous prime is 1051693427. The next prime is 1051693471. The reversal of 1051693440 is 443961501.

1051693440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1051693440² = 2212118183478067200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226179 + ... + 230781.

It is an arithmetic number, because the mean of its divisors is an integer number (15849270).

Almost surely, 2^1051693440 is an apocalyptic number.

1051693440 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 1051693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028706560).

1051693440 is an abundant number, since it is smaller than the sum of its proper divisors (3005719680).

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

1051693440 is a wasteful number, since it uses less digits than its factorization.

1051693440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4637 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1051693440 is about 32429.8233112671. The cubic root of 1051693440 is about 1016.9424780067.

The spelling of 1051693440 in words is "one billion, fifty-one million, six hundred ninety-three thousand, four hundred forty".