40017146778560 has 224 divisors, whose sum is σ = 109044060547968. Its totient is φ = 13702508052480.

The previous prime is 40017146778529. The next prime is 40017146778563. The reversal of 40017146778560 is 6587764171004.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 40017146778496 and 40017146778505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40017146778563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10539146582 + ... + 10539150378.

It is an arithmetic number, because the mean of its divisors is an integer number (486803841732).

Almost surely, 2^{40017146778560} is an apocalyptic number.

40017146778560 is a gapful number since it is divisible by the number (40) 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 40017146778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54522030273984).

40017146778560 is an abundant number, since it is smaller than the sum of its proper divisors (69026913769408).

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

40017146778560 is a wasteful number, since it uses less digits than its factorization.

40017146778560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8639 (or 8629 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 56.

The spelling of 40017146778560 in words is "forty trillion, seventeen billion, one hundred forty-six million, seven hundred seventy-eight thousand, five hundred sixty".