61335235405140 has 192 divisors, whose sum is σ = 179521542660096. Its totient is φ = 15635478463488.

The previous prime is 61335235405117. The next prime is 61335235405193. The reversal of 61335235405140 is 4150453253316.

It is a happy number.

It is a super-2 number, since 2×61335235405140² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61335235405092 and 61335235405101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19757239 + ... + 22649921.

It is an arithmetic number, because the mean of its divisors is an integer number (935008034688).

Almost surely, 2^{61335235405140} is an apocalyptic number.

61335235405140 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 61335235405140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89760771330048).

61335235405140 is an abundant number, since it is smaller than the sum of its proper divisors (118186307254956).

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

61335235405140 is a wasteful number, since it uses less digits than its factorization.

61335235405140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892918 (or 2892916 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

Adding to 61335235405140 its reverse (4150453253316), we get a palindrome (65485688658456).

The spelling of 61335235405140 in words is "sixty-one trillion, three hundred thirty-five billion, two hundred thirty-five million, four hundred five thousand, one hundred forty".