61734413031240 has 256 divisors, whose sum is σ = 188799799345920. Its totient is φ = 16145093099520.

The previous prime is 61734413031209. The next prime is 61734413031251. The reversal of 61734413031240 is 4213031443716.

It is a happy number.

It is a super-2 number, since 2×61734413031240² (a number of 28 digits) contains 22 as substring.

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, 2749483854 + ... + 2749506306.

It is an arithmetic number, because the mean of its divisors is an integer number (737499216195).

Almost surely, 2^{61734413031240} is an apocalyptic number.

61734413031240 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 61734413031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94399899672960).

61734413031240 is an abundant number, since it is smaller than the sum of its proper divisors (127065386314680).

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

61734413031240 is a wasteful number, since it uses less digits than its factorization.

61734413031240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24032 (or 24028 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

Adding to 61734413031240 its reverse (4213031443716), we get a palindrome (65947444474956).

The spelling of 61734413031240 in words is "sixty-one trillion, seven hundred thirty-four billion, four hundred thirteen million, thirty-one thousand, two hundred forty".