1604397542400 has 528 divisors, whose sum is σ = 5902262484000. Its totient is φ = 427079761920.

The previous prime is 1604397542393. The next prime is 1604397542413. The reversal of 1604397542400 is 42457934061.

1604397542400 is a `hidden beast` number, since 1 + 60 + 4 + 3 + 9 + 7 + 542 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 465175876 + ... + 465179324.

Almost surely, 2^{1604397542400} is an apocalyptic number.

1604397542400 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 1604397542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2951131242000).

1604397542400 is an abundant number, since it is smaller than the sum of its proper divisors (4297864941600).

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

1604397542400 is a wasteful number, since it uses less digits than its factorization.

1604397542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1604397542400 in words is "one trillion, six hundred four billion, three hundred ninety-seven million, five hundred forty-two thousand, four hundred".