1051475040 has 768 divisors, whose sum is σ = 4790016000. Its totient is φ = 209018880.

The previous prime is 1051475017. The next prime is 1051475059. The reversal of 1051475040 is 405741501.

It is a happy number.

1051475040 is a `hidden beast` number, since 10 + 5 + 147 + 504 + 0 = 666.

1051475040 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 2×1051475040² = 2211199519486003200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1051474995 and 1051475013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9646506 + ... + 9646614.

It is an arithmetic number, because the mean of its divisors is an integer number (6237000).

Almost surely, 2^1051475040 is an apocalyptic number.

1051475040 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 1051475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2395008000).

1051475040 is an abundant number, since it is smaller than the sum of its proper divisors (3738540960).

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

1051475040 is a wasteful number, since it uses less digits than its factorization.

1051475040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 1051475040 is about 32426.4558655429. The cubic root of 1051475040 is about 1016.8720786537.

The spelling of 1051475040 in words is "one billion, fifty-one million, four hundred seventy-five thousand, forty".