1604111040 has 504 divisors, whose sum is σ = 6671809872. Its totient is φ = 365783040.

The previous prime is 1604111039. The next prime is 1604111051. The reversal of 1604111040 is 401114061.

1604111040 is a `hidden beast` number, since 1 + 604 + 11 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3810030 + ... + 3810450.

It is an arithmetic number, because the mean of its divisors is an integer number (13237718).

Almost surely, 2^1604111040 is an apocalyptic number.

1604111040 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 1604111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335904936).

1604111040 is an abundant number, since it is smaller than the sum of its proper divisors (5067698832).

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

1604111040 is an equidigital number, since it uses as much as digits as its factorization.

1604111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1604111040 is about 40051.3550332570. The cubic root of 1604111040 is about 1170.6079680500.

The spelling of 1604111040 in words is "one billion, six hundred four million, one hundred eleven thousand, forty".