77441495040 has 1664 divisors, whose sum is σ = 361085491200. Its totient is φ = 15479341056.

The previous prime is 77441495017. The next prime is 77441495051. The reversal of 77441495040 is 4059414477.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4075868151 + ... + 4075868169.

Almost surely, 2^77441495040 is an apocalyptic number.

77441495040 is a gapful number since it is divisible by the number (70) 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 77441495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180542745600).

77441495040 is an abundant number, since it is smaller than the sum of its proper divisors (283643996160).

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

77441495040 is an equidigital number, since it uses as much as digits as its factorization.

77441495040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 77441495040 in words is "seventy-seven billion, four hundred forty-one million, four hundred ninety-five thousand, forty".