1009058040 has 256 divisors, whose sum is σ = 3486412800. Its totient is φ = 259448832.

The previous prime is 1009058009. The next prime is 1009058051. The reversal of 1009058040 is 408509001.

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 = 1009057995 and 1009058013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5228184 + ... + 5228376.

It is an arithmetic number, because the mean of its divisors is an integer number (13618800).

Almost surely, 2^1009058040 is an apocalyptic number.

1009058040 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 1009058040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743206400).

1009058040 is an abundant number, since it is smaller than the sum of its proper divisors (2477354760).

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

1009058040 is a wasteful number, since it uses less digits than its factorization.

1009058040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1009058040 is about 31765.6739264257. The cubic root of 1009058040 is about 1003.0102758134.

The spelling of 1009058040 in words is "one billion, nine million, fifty-eight thousand, forty".