61278114240 has 504 divisors, whose sum is σ = 248880642192. Its totient is φ = 13795246080.

The previous prime is 61278114223. The next prime is 61278114259. The reversal of 61278114240 is 4241187216.

It is a happy number.

61278114240 is a `hidden beast` number, since 612 + 7 + 8 + 1 + 14 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 61278114195 and 61278114204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9451800 + ... + 9458280.

It is an arithmetic number, because the mean of its divisors is an integer number (493810798).

Almost surely, 2^61278114240 is an apocalyptic number.

61278114240 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 61278114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124440321096).

61278114240 is an abundant number, since it is smaller than the sum of its proper divisors (187602527952).

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

61278114240 is a wasteful number, since it uses less digits than its factorization.

61278114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6585 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 61278114240 in words is "sixty-one billion, two hundred seventy-eight million, one hundred fourteen thousand, two hundred forty".