40140206034624 has 336 divisors, whose sum is σ = 123419871544320. Its totient is φ = 12428033679360.

The previous prime is 40140206034623. The next prime is 40140206034631. The reversal of 40140206034624 is 42643060204104.

40140206034624 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 0 + 2 + 0 + 603 + 46 + 2 + 4 = 666.

It is a super-2 number, since 2×40140206034624² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40140206034623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1936230339 + ... + 1936251069.

Almost surely, 2^{40140206034624} 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 40140206034624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61709935772160).

40140206034624 is an abundant number, since it is smaller than the sum of its proper divisors (83279665509696).

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

40140206034624 is a wasteful number, since it uses less digits than its factorization.

40140206034624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23348 (or 23335 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 40140206034624 its reverse (42643060204104), we get a palindrome (82783266238728).

The spelling of 40140206034624 in words is "forty trillion, one hundred forty billion, two hundred six million, thirty-four thousand, six hundred twenty-four".