40045262144 has 126 divisors (see below), whose sum is σ = 85349151882. Its totient is φ = 18637632000.

The previous prime is 40045262141. The next prime is 40045262149. The reversal of 40045262144 is 44126254004.

It can be written as a sum of positive squares in only one way, i.e., 39648774400 + 396487744 = 199120^2 + 19912^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 40045262144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40045262141) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 305688959 + ... + 305689089.

Almost surely, 2^40045262144 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 40045262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42674575941).

40045262144 is an abundant number, since it is smaller than the sum of its proper divisors (45303889738).

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

40045262144 is a wasteful number, since it uses less digits than its factorization.

40045262144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 40045262144 in words is "forty billion, forty-five million, two hundred sixty-two thousand, one hundred forty-four".