1601074460160 has 800 divisors, whose sum is σ = 6566282141760. Its totient is φ = 365261488128.

The previous prime is 1601074460137. The next prime is 1601074460177. The reversal of 1601074460160 is 610644701061.

It is a happy number.

1601074460160 is a `hidden beast` number, since 1 + 6 + 0 + 1 + 0 + 7 + 44 + 601 + 6 + 0 = 666.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1418134476 + ... + 1418135604.

Almost surely, 2^{1601074460160} is an apocalyptic number.

1601074460160 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 1601074460160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283141070880).

1601074460160 is an abundant number, since it is smaller than the sum of its proper divisors (4965207681600).

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

1601074460160 is an equidigital number, since it uses as much as digits as its factorization.

1601074460160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1601074460160 in words is "one trillion, six hundred one billion, seventy-four million, four hundred sixty thousand, one hundred sixty".