40064222246004 has 144 divisors (see below), whose sum is σ = 115299279373824. Its totient is φ = 11611239816000.

The previous prime is 40064222245967. The next prime is 40064222246099.

40064222246004 is a `hidden beast` number, since 4 + 0 + 0 + 6 + 4 + 2 + 22 + 24 + 600 + 4 = 666.

40064222246004 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40064222246004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67568527 + ... + 68158889.

It is an arithmetic number, because the mean of its divisors is an integer number (800689440096).

Almost surely, 2^{40064222246004} is an apocalyptic number.

40064222246004 is a gapful number since it is divisible by the number (44) 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 40064222246004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57649639686912).

40064222246004 is an abundant number, since it is smaller than the sum of its proper divisors (75235057127820).

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

40064222246004 is a wasteful number, since it uses less digits than its factorization.

40064222246004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597858 (or 597853 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 40064222246004 in words is "forty trillion, sixty-four billion, two hundred twenty-two million, two hundred forty-six thousand, four".