1601370406944 has 960 divisors, whose sum is σ = 6279984006912. Its totient is φ = 387514368000.

The previous prime is 1601370406939. The next prime is 1601370406949. The reversal of 1601370406944 is 4496040731061.

1601370406944 is a `hidden beast` number, since 1 + 601 + 37 + 0 + 4 + 0 + 6 + 9 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1601370406939) and next prime (1601370406949).

It is a self number, because there is not a number n which added to its sum of digits gives 1601370406944.

It is not an unprimeable number, because it can be changed into a prime (1601370406949) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 342683392 + ... + 342688064.

Almost surely, 2^{1601370406944} is an apocalyptic number.

1601370406944 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 1601370406944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139992003456).

1601370406944 is an abundant number, since it is smaller than the sum of its proper divisors (4678613599968).

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

1601370406944 is a wasteful number, since it uses less digits than its factorization.

1601370406944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4831 (or 4814 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1601370406944 in words is "one trillion, six hundred one billion, three hundred seventy million, four hundred six thousand, nine hundred forty-four".