1601781350400 has 3240 divisors, whose sum is σ = 7868127379840. Its totient is φ = 315319910400.

The previous prime is 1601781350399. The next prime is 1601781350417. The reversal of 1601781350400 is 40531871061.

1601781350400 is a `hidden beast` number, since 1 + 60 + 17 + 81 + 3 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 84304281591 + ... + 84304281609.

Almost surely, 2^{1601781350400} is an apocalyptic number.

1601781350400 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 1601781350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3934063689920).

1601781350400 is an abundant number, since it is smaller than the sum of its proper divisors (6266346029440).

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

1601781350400 is an equidigital number, since it uses as much as digits as its factorization.

1601781350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 1601781350400 in words is "one trillion, six hundred one billion, seven hundred eighty-one million, three hundred fifty thousand, four hundred".