1011239040 has 256 divisors, whose sum is σ = 3742110720. Its totient is φ = 227487744.

The previous prime is 1011238979. The next prime is 1011239069. The reversal of 1011239040 is 409321101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1011238998 and 1011239016.

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, 899919 + ... + 901041.

It is an arithmetic number, because the mean of its divisors is an integer number (14617620).

Almost surely, 2^1011239040 is an apocalyptic number.

1011239040 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 1011239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871055360).

1011239040 is an abundant number, since it is smaller than the sum of its proper divisors (2730871680).

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

1011239040 is a wasteful number, since it uses less digits than its factorization.

1011239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1011239040 is about 31799.9849056568. The cubic root of 1011239040 is about 1003.7323985361.

The spelling of 1011239040 in words is "one billion, eleven million, two hundred thirty-nine thousand, forty".