61402746360340 has 288 divisors, whose sum is σ = 166679228580480. Its totient is φ = 18785673446400.

The previous prime is 61402746360311. The next prime is 61402746360401. The reversal of 61402746360340 is 4306364720416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125482950 + ... + 125971330.

It is an arithmetic number, because the mean of its divisors is an integer number (578747321460).

Almost surely, 2^{61402746360340} 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 61402746360340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83339614290240).

61402746360340 is an abundant number, since it is smaller than the sum of its proper divisors (105276482220140).

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

61402746360340 is a wasteful number, since it uses less digits than its factorization.

61402746360340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488631 (or 488622 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 46.

The spelling of 61402746360340 in words is "sixty-one trillion, four hundred two billion, seven hundred forty-six million, three hundred sixty thousand, three hundred forty".