61282440000 has 560 divisors, whose sum is σ = 227098555200. Its totient is φ = 16199424000.

The previous prime is 61282439969. The next prime is 61282440047. The reversal of 61282440000 is 4428216.

61282440000 is a `hidden beast` number, since 612 + 8 + 2 + 4 + 40 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 193319842 + ... + 193320158.

Almost surely, 2^61282440000 is an apocalyptic number.

61282440000 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 61282440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113549277600).

61282440000 is an abundant number, since it is smaller than the sum of its proper divisors (165816115200).

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

61282440000 is a wasteful number, since it uses less digits than its factorization.

61282440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 61282440000 its reverse (4428216), we get a palindrome (61286868216).

The spelling of 61282440000 in words is "sixty-one billion, two hundred eighty-two million, four hundred forty thousand".