3561029418240 has 1296 divisors, whose sum is σ = 15974952477120. Its totient is φ = 725713551360.

The previous prime is 3561029418229. The next prime is 3561029418263. The reversal of 3561029418240 is 428149201653.

3561029418240 is a `hidden beast` number, since 3 + 5 + 610 + 2 + 9 + 4 + 1 + 8 + 24 + 0 = 666.

3561029418240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 182317275 + ... + 182336805.

It is an arithmetic number, because the mean of its divisors is an integer number (12326352220).

Almost surely, 2^{3561029418240} is an apocalyptic number.

3561029418240 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 3561029418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7987476238560).

3561029418240 is an abundant number, since it is smaller than the sum of its proper divisors (12413923058880).

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

3561029418240 is a wasteful number, since it uses less digits than its factorization.

3561029418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19608 (or 19584 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3561029418240 in words is "three trillion, five hundred sixty-one billion, twenty-nine million, four hundred eighteen thousand, two hundred forty".