1601417620000 has 480 divisors, whose sum is σ = 4391086702464. Its totient is φ = 569856000000.

The previous prime is 1601417619979. The next prime is 1601417620001. The reversal of 1601417620000 is 267141061.

It is not an unprimeable number, because it can be changed into a prime (1601417620001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2155339629 + ... + 2155340371.

Almost surely, 2^{1601417620000} is an apocalyptic number.

1601417620000 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 1601417620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195543351232).

1601417620000 is an abundant number, since it is smaller than the sum of its proper divisors (2789669082464).

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

1601417620000 is a wasteful number, since it uses less digits than its factorization.

1601417620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 1601417620000 in words is "one trillion, six hundred one billion, four hundred seventeen million, six hundred twenty thousand".