40164405414840 has 960 divisors, whose sum is σ = 159921398714400. Its totient is φ = 8965866599424.

The previous prime is 40164405414821. The next prime is 40164405414863. The reversal of 40164405414840 is 4841450446104.

40164405414840 is a `hidden beast` number, since 4 + 0 + 1 + 64 + 4 + 0 + 541 + 4 + 8 + 40 = 666.

It is a super-2 number, since 2×40164405414840² (a number of 28 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4794600732 + ... + 4794609108.

Almost surely, 2^{40164405414840} is an apocalyptic number.

40164405414840 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 40164405414840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79960699357200).

40164405414840 is an abundant number, since it is smaller than the sum of its proper divisors (119756993299560).

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

40164405414840 is an equidigital number, since it uses as much as digits as its factorization.

40164405414840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8511 (or 8437 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 40164405414840 in words is "forty trillion, one hundred sixty-four billion, four hundred five million, four hundred fourteen thousand, eight hundred forty".