3156621661440 has 432 divisors, whose sum is σ = 12035256385152. Its totient is φ = 758942908416.

The previous prime is 3156621661433. The next prime is 3156621661463. The reversal of 3156621661440 is 441661266513.

3156621661440 is a `hidden beast` number, since 3 + 1 + 5 + 6 + 6 + 21 + 6 + 614 + 4 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 6194589 + ... + 6684771.

Almost surely, 2^{3156621661440} is an apocalyptic number.

3156621661440 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 3156621661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6017628192576).

3156621661440 is an abundant number, since it is smaller than the sum of its proper divisors (8878634723712).

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

3156621661440 is a wasteful number, since it uses less digits than its factorization.

3156621661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490266 (or 490249 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3156621661440 in words is "three trillion, one hundred fifty-six billion, six hundred twenty-one million, six hundred sixty-one thousand, four hundred forty".