1601630096400 has 240 divisors, whose sum is σ = 5723338057920. Its totient is φ = 425399040000.

The previous prime is 1601630096387. The next prime is 1601630096419. The reversal of 1601630096400 is 46900361061.

1601630096400 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 6 + 3 + 0 + 0 + 9 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2415384 + ... + 3006216.

It is an arithmetic number, because the mean of its divisors is an integer number (23847241908).

Almost surely, 2^{1601630096400} is an apocalyptic number.

1601630096400 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 1601630096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861669028960).

1601630096400 is an abundant number, since it is smaller than the sum of its proper divisors (4121707961520).

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

1601630096400 is a wasteful number, since it uses less digits than its factorization.

1601630096400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591111 (or 591094 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 1601630096400 in words is "one trillion, six hundred one billion, six hundred thirty million, ninety-six thousand, four hundred".