40010123664 has 300 divisors, whose sum is σ = 135598965084. Its totient is φ = 11355821568.

The previous prime is 40010123609. The next prime is 40010123729. The reversal of 40010123664 is 46632101004.

It can be written as a sum of positive squares in 2 ways, for example, as 23167275264 + 16842848400 = 152208^2 + 129780^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9968122 + ... + 9972134.

Almost surely, 2^40010123664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40010123664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67799482542).

40010123664 is an abundant number, since it is smaller than the sum of its proper divisors (95588841420).

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

40010123664 is a wasteful number, since it uses less digits than its factorization.

40010123664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4204 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 40010123664 its reverse (46632101004), we get a palindrome (86642224668).

The spelling of 40010123664 in words is "forty billion, ten million, one hundred twenty-three thousand, six hundred sixty-four".