1004855040 has 432 divisors, whose sum is σ = 4212831168. Its totient is φ = 215875584.

The previous prime is 1004855029. The next prime is 1004855051. The reversal of 1004855040 is 405584001.

1004855040 is a `hidden beast` number, since 100 + 4 + 8 + 550 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1004855029) and next prime (1004855051).

It is a junction number, because it is equal to n+sod(n) for n = 1004854995 and 1004855013.

It is a congruent number.

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, 1370514 + ... + 1371246.

It is an arithmetic number, because the mean of its divisors is an integer number (9751924).

Almost surely, 2^1004855040 is an apocalyptic number.

1004855040 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 1004855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106415584).

1004855040 is an abundant number, since it is smaller than the sum of its proper divisors (3207976128).

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

1004855040 is a wasteful number, since it uses less digits than its factorization.

1004855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1004855040 is about 31699.4485756456. The cubic root of 1004855040 is about 1001.6157346622.

The spelling of 1004855040 in words is "one billion, four million, eight hundred fifty-five thousand, forty".