3601145533440 has 352 divisors, whose sum is σ = 14176053400320. Its totient is φ = 759801839616.

The previous prime is 3601145533409. The next prime is 3601145533487. The reversal of 3601145533440 is 443355411063.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109576 + ... + 2685944.

Almost surely, 2^{3601145533440} is an apocalyptic number.

3601145533440 is a gapful number since it is divisible by the number (30) 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 3601145533440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7088026700160).

3601145533440 is an abundant number, since it is smaller than the sum of its proper divisors (10574907866880).

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

3601145533440 is a wasteful number, since it uses less digits than its factorization.

3601145533440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576417 (or 2576399 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 3601145533440 in words is "three trillion, six hundred one billion, one hundred forty-five million, five hundred thirty-three thousand, four hundred forty".