61041014173440 has 576 divisors, whose sum is σ = 247629562629120. Its totient is φ = 13948042199040.

The previous prime is 61041014173429. The next prime is 61041014173523. The reversal of 61041014173440 is 4437141014016.

61041014173440 is a `hidden beast` number, since 6 + 1 + 0 + 4 + 1 + 0 + 141 + 73 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×61041014173440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61041014173395 and 61041014173404.

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, 844506582 + ... + 844578858.

It is an arithmetic number, because the mean of its divisors is an integer number (429912435120).

Almost surely, 2^{61041014173440} is an apocalyptic number.

61041014173440 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 61041014173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123814781314560).

61041014173440 is an abundant number, since it is smaller than the sum of its proper divisors (186588548455680).

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

61041014173440 is a wasteful number, since it uses less digits than its factorization.

61041014173440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75805 (or 75785 counting only the distinct ones).

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

Adding to 61041014173440 its reverse (4437141014016), we get a palindrome (65478155187456).

The spelling of 61041014173440 in words is "sixty-one trillion, forty-one billion, fourteen million, one hundred seventy-three thousand, four hundred forty".