1601457763840 has 160 divisors (see below), whose sum is σ = 4196511120384. Its totient is φ = 581278064640.

The previous prime is 1601457763783. The next prime is 1601457763921. The reversal of 1601457763840 is 483677541061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15351537 + ... + 15455503.

Almost surely, 2^{1601457763840} is an apocalyptic number.

1601457763840 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 1601457763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098255560192).

1601457763840 is an abundant number, since it is smaller than the sum of its proper divisors (2595053356544).

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

1601457763840 is a wasteful number, since it uses less digits than its factorization.

1601457763840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104548 (or 104532 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 1601457763840 in words is "one trillion, six hundred one billion, four hundred fifty-seven million, seven hundred sixty-three thousand, eight hundred forty".