40671494599680 has 2464 divisors, whose sum is σ = 177875075464704. Its totient is φ = 8717544456192.

The previous prime is 40671494599679. The next prime is 40671494599717. The reversal of 40671494599680 is 8699549417604.

40671494599680 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 1 + 4 + 9 + 459 + 96 + 80 = 666.

40671494599680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40671494599680² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40671494599599 and 40671494599608.

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 223 ways as a sum of consecutive naturals, for example, 31849251202 + ... + 31849252478.

Almost surely, 2^{40671494599680} is an apocalyptic number.

40671494599680 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 40671494599680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88937537732352).

40671494599680 is an abundant number, since it is smaller than the sum of its proper divisors (137203580865024).

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

40671494599680 is a wasteful number, since it uses less digits than its factorization.

40671494599680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 40671494599680 in words is "forty trillion, six hundred seventy-one billion, four hundred ninety-four million, five hundred ninety-nine thousand, six hundred eighty".