40575359784960 has 3456 divisors, whose sum is σ = 202361617785600. Its totient is φ = 7370841784320.

The previous prime is 40575359784929. The next prime is 40575359785021. The reversal of 40575359784960 is 6948795357504.

40575359784960 is a `hidden beast` number, since 4 + 0 + 5 + 7 + 535 + 9 + 7 + 84 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12269535627 + ... + 12269538933.

It is an arithmetic number, because the mean of its divisors is an integer number (58553708850).

Almost surely, 2^{40575359784960} is an apocalyptic number.

40575359784960 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 40575359784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101180808892800).

40575359784960 is an abundant number, since it is smaller than the sum of its proper divisors (161786258000640).

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

40575359784960 is a wasteful number, since it uses less digits than its factorization.

40575359784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3367 counting only the distinct ones).

The product of its (nonzero) digits is 1143072000, while the sum is 72.

The spelling of 40575359784960 in words is "forty trillion, five hundred seventy-five billion, three hundred fifty-nine million, seven hundred eighty-four thousand, nine hundred sixty".