61444404076419 has 192 divisors, whose sum is σ = 115809030650880. Its totient is φ = 31906919278080.

The previous prime is 61444404076417. The next prime is 61444404076427. The reversal of 61444404076419 is 91467040444416.

61444404076419 is a `hidden beast` number, since 6 + 144 + 4 + 40 + 40 + 7 + 6 + 419 = 666.

It is not a de Polignac number, because 61444404076419 - 2¹ = 61444404076417 is a prime.

It is a super-2 number, since 2×61444404076419² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61444404076417) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1983149602 + ... + 1983180584.

It is an arithmetic number, because the mean of its divisors is an integer number (603172034640).

Almost surely, 2^{61444404076419} is an apocalyptic number.

61444404076419 is a deficient number, since it is larger than the sum of its proper divisors (54364626574461).

61444404076419 is a wasteful number, since it uses less digits than its factorization.

61444404076419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32807 (or 32794 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 61444404076419 in words is "sixty-one trillion, four hundred forty-four billion, four hundred four million, seventy-six thousand, four hundred nineteen".