40505197602870 has 1024 divisors, whose sum is σ = 148346272972800. Its totient is φ = 7592882042880.

The previous prime is 40505197602817. The next prime is 40505197602893. The reversal of 40505197602870 is 7820679150504.

40505197602870 is a `hidden beast` number, since 4 + 0 + 50 + 519 + 7 + 6 + 0 + 2 + 8 + 70 = 666.

40505197602870 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2758638549 + ... + 2758653231.

It is an arithmetic number, because the mean of its divisors is an integer number (144869407200).

Almost surely, 2^{40505197602870} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40505197602870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74173136486400).

40505197602870 is an abundant number, since it is smaller than the sum of its proper divisors (107841075369930).

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

40505197602870 is a wasteful number, since it uses less digits than its factorization.

40505197602870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14962 (or 14956 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 40505197602870 in words is "forty trillion, five hundred five billion, one hundred ninety-seven million, six hundred two thousand, eight hundred seventy".