61791571459440 has 80 divisors (see below), whose sum is σ = 212837635034400. Its totient is φ = 16477752388608.

The previous prime is 61791571459439. The next prime is 61791571459493. The reversal of 61791571459440 is 4495417519716.

It is a happy number.

61791571459440 is a `hidden beast` number, since 6 + 1 + 7 + 9 + 1 + 571 + 4 + 59 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×61791571459440² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14303602345 + ... + 14303606664.

It is an arithmetic number, because the mean of its divisors is an integer number (2660470437930).

Almost surely, 2^{61791571459440} is an apocalyptic number.

61791571459440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61791571459440 is an abundant number, since it is smaller than the sum of its proper divisors (151046063574960).

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

61791571459440 is a wasteful number, since it uses less digits than its factorization.

61791571459440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28607209031 (or 28607209019 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 61791571459440 in words is "sixty-one trillion, seven hundred ninety-one billion, five hundred seventy-one million, four hundred fifty-nine thousand, four hundred forty".