3561416504640 has 336 divisors, whose sum is σ = 12468693294720. Its totient is φ = 932839649280.

The previous prime is 3561416504557. The next prime is 3561416504647. The reversal of 3561416504640 is 464056141653.

3561416504640 is a `hidden beast` number, since 3 + 5 + 61 + 41 + 6 + 504 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3561416504647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54972747 + ... + 55037493.

Almost surely, 2^{3561416504640} is an apocalyptic number.

3561416504640 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 3561416504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6234346647360).

3561416504640 is an abundant number, since it is smaller than the sum of its proper divisors (8907276790080).

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

3561416504640 is a wasteful number, since it uses less digits than its factorization.

3561416504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65110 (or 65097 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 3561416504640 in words is "three trillion, five hundred sixty-one billion, four hundred sixteen million, five hundred four thousand, six hundred forty".