40195778260512 has 768 divisors, whose sum is σ = 133002475683840. Its totient is φ = 10363919204352.

The previous prime is 40195778260501. The next prime is 40195778260609. The reversal of 40195778260512 is 21506287759104.

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, 36442228153 + ... + 36442229255.

It is an arithmetic number, because the mean of its divisors is an integer number (173180306880).

Almost surely, 2^{40195778260512} is an apocalyptic number.

40195778260512 is a gapful number since it is divisible by the number (42) 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 40195778260512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66501237841920).

40195778260512 is an abundant number, since it is smaller than the sum of its proper divisors (92806697423328).

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

40195778260512 is a wasteful number, since it uses less digits than its factorization.

40195778260512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1833 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 40195778260512 in words is "forty trillion, one hundred ninety-five billion, seven hundred seventy-eight million, two hundred sixty thousand, five hundred twelve".