1601277143040 has 864 divisors, whose sum is σ = 6001202844000. Its totient is φ = 394689773568.

The previous prime is 1601277143029. The next prime is 1601277143047. The reversal of 1601277143040 is 403417721061.

1601277143040 is a `hidden beast` number, since 1 + 60 + 127 + 7 + 1 + 430 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1601277142986 and 1601277143004.

It is not an unprimeable number, because it can be changed into a prime (1601277143047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1571419651 + ... + 1571420669.

It is an arithmetic number, because the mean of its divisors is an integer number (6945836625).

Almost surely, 2^{1601277143040} is an apocalyptic number.

1601277143040 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 1601277143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3000601422000).

1601277143040 is an abundant number, since it is smaller than the sum of its proper divisors (4399925700960).

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

1601277143040 is a wasteful number, since it uses less digits than its factorization.

1601277143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 1601277143040 in words is "one trillion, six hundred one billion, two hundred seventy-seven million, one hundred forty-three thousand, forty".