61097458040 has 128 divisors (see below), whose sum is σ = 147839852160. Its totient is φ = 22641721344.

The previous prime is 61097458021. The next prime is 61097458043. The reversal of 61097458040 is 4085479016.

It is a Cunningham number, because it is equal to 247179²-1.

It is a junction number, because it is equal to n+sod(n) for n = 61097457982 and 61097458000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61097458043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36087434 + ... + 36089126.

It is an arithmetic number, because the mean of its divisors is an integer number (1154998845).

Almost surely, 2^61097458040 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 61097458040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73919926080).

61097458040 is an abundant number, since it is smaller than the sum of its proper divisors (86742394120).

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

61097458040 is a wasteful number, since it uses less digits than its factorization.

61097458040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 61097458040 in words is "sixty-one billion, ninety-seven million, four hundred fifty-eight thousand, forty".