1609311400704 has 1440 divisors, whose sum is σ = 6158486315520. Its totient is φ = 407335993344.

The previous prime is 1609311400691. The next prime is 1609311400727. The reversal of 1609311400704 is 4070041139061.

1609311400704 is a `hidden beast` number, since 1 + 609 + 3 + 1 + 1 + 40 + 0 + 7 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3077076987 + ... + 3077077509.

It is an arithmetic number, because the mean of its divisors is an integer number (4276726608).

Almost surely, 2^{1609311400704} is an apocalyptic number.

1609311400704 is a gapful number since it is divisible by the number (14) 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 1609311400704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079243157760).

1609311400704 is an abundant number, since it is smaller than the sum of its proper divisors (4549174914816).

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

1609311400704 is a wasteful number, since it uses less digits than its factorization.

1609311400704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 1609311400704 its reverse (4070041139061), we get a palindrome (5679352539765).

The spelling of 1609311400704 in words is "one trillion, six hundred nine billion, three hundred eleven million, four hundred thousand, seven hundred four".