61278314240000 has 1920 divisors, whose sum is σ = 194974248268800. Its totient is φ = 18901893120000.

The previous prime is 61278314239999. The next prime is 61278314240207. The reversal of 61278314240000 is 4241387216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 146248959791 + ... + 146248960209.

It is an arithmetic number, because the mean of its divisors is an integer number (101549087640).

Almost surely, 2^{61278314240000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61278314240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97487124134400).

61278314240000 is an abundant number, since it is smaller than the sum of its proper divisors (133695934028800).

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

61278314240000 is a wasteful number, since it uses less digits than its factorization.

61278314240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 61278314240000 in words is "sixty-one trillion, two hundred seventy-eight billion, three hundred fourteen million, two hundred forty thousand".