40146045488640 has 5760 divisors, whose sum is σ = 196126247116800. Its totient is φ = 7370841784320.

The previous prime is 40146045488561. The next prime is 40146045488683. The reversal of 40146045488640 is 4688454064104.

40146045488640 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 60 + 45 + 488 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×40146045488640² (a number of 28 digits) contains 22 as substring.

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 575 ways as a sum of consecutive naturals, for example, 680441448931 + ... + 680441448989.

It is an arithmetic number, because the mean of its divisors is an integer number (34049695680).

Almost surely, 2^{40146045488640} is an apocalyptic number.

40146045488640 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 40146045488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98063123558400).

40146045488640 is an abundant number, since it is smaller than the sum of its proper divisors (155980201628160).

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

40146045488640 is a wasteful number, since it uses less digits than its factorization.

40146045488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 40146045488640 in words is "forty trillion, one hundred forty-six billion, forty-five million, four hundred eighty-eight thousand, six hundred forty".