61508341440000 has 4000 divisors, whose sum is σ = 286496882400960. Its totient is φ = 12787974144000.

The previous prime is 61508341439929. The next prime is 61508341440023. The reversal of 61508341440000 is 4414380516.

61508341440000 is a `hidden beast` number, since 6 + 1 + 508 + 3 + 4 + 144 + 0 + 0 + 0 + 0 = 666.

61508341440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4000).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 209926079854 + ... + 209926080146.

Almost surely, 2^{61508341440000} is an apocalyptic number.

61508341440000 is a gapful number since it is divisible by the number (60) 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 61508341440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143248441200480).

61508341440000 is an abundant number, since it is smaller than the sum of its proper divisors (224988540960960).

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

61508341440000 is an equidigital number, since it uses as much as digits as its factorization.

61508341440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 61508341440000 in words is "sixty-one trillion, five hundred eight billion, three hundred forty-one million, four hundred forty thousand".