61281372042 has 64 divisors (see below), whose sum is σ = 148886640000. Its totient is φ = 18529395840.

The previous prime is 61281371999. The next prime is 61281372067. The reversal of 61281372042 is 24027318216.

It is a happy number.

61281372042 is a `hidden beast` number, since 6 + 1 + 281 + 372 + 0 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61281371988 and 61281372006.

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 31 ways as a sum of consecutive naturals, for example, 158584 + ... + 384332.

It is an arithmetic number, because the mean of its divisors is an integer number (2326353750).

Almost surely, 2^61281372042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61281372042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74443320000).

61281372042 is an abundant number, since it is smaller than the sum of its proper divisors (87605267958).

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

61281372042 is a wasteful number, since it uses less digits than its factorization.

61281372042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226228 (or 226222 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 61281372042 in words is "sixty-one billion, two hundred eighty-one million, three hundred seventy-two thousand, forty-two".