40853867582304 has 480 divisors, whose sum is σ = 145644318388800. Its totient is φ = 10966826483712.

The previous prime is 40853867582299. The next prime is 40853867582309. The reversal of 40853867582304 is 40328576835804.

40853867582304 is a `hidden beast` number, since 4 + 0 + 8 + 538 + 6 + 75 + 8 + 23 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (40853867582299) and next prime (40853867582309).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40853867582309) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 177859722 + ... + 178089270.

It is an arithmetic number, because the mean of its divisors is an integer number (303425663310).

Almost surely, 2^{40853867582304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40853867582304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72822159194400).

40853867582304 is an abundant number, since it is smaller than the sum of its proper divisors (104790450806496).

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

40853867582304 is a wasteful number, since it uses less digits than its factorization.

40853867582304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230172 (or 230155 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 63.

The spelling of 40853867582304 in words is "forty trillion, eight hundred fifty-three billion, eight hundred sixty-seven million, five hundred eighty-two thousand, three hundred four".