40491441164160 has 1792 divisors, whose sum is σ = 173575675008000. Its totient is φ = 8844099416064.

The previous prime is 40491441164147. The next prime is 40491441164171. The reversal of 40491441164160 is 6146114419404.

40491441164160 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 14 + 411 + 64 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 39736448131 + ... + 39736449149.

Almost surely, 2^{40491441164160} is an apocalyptic number.

40491441164160 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 40491441164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86787837504000).

40491441164160 is an abundant number, since it is smaller than the sum of its proper divisors (133084233843840).

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

40491441164160 is an frugal number, since it uses more digits than its factorization.

40491441164160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 40491441164160 in words is "forty trillion, four hundred ninety-one billion, four hundred forty-one million, one hundred sixty-four thousand, one hundred sixty".