1604913408000 has 1152 divisors, whose sum is σ = 6658609950720. Its totient is φ = 364216320000.

The previous prime is 1604913407963. The next prime is 1604913408001. The reversal of 1604913408000 is 8043194061.

1604913408000 is a `hidden beast` number, since 1 + 60 + 491 + 34 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1604913408001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3080447740 + ... + 3080448260.

It is an arithmetic number, because the mean of its divisors is an integer number (5780043360).

Almost surely, 2^{1604913408000} is an apocalyptic number.

1604913408000 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 1604913408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329304975360).

1604913408000 is an abundant number, since it is smaller than the sum of its proper divisors (5053696542720).

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

1604913408000 is a wasteful number, since it uses less digits than its factorization.

1604913408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1604913408000 in words is "one trillion, six hundred four billion, nine hundred thirteen million, four hundred eight thousand".