40125738222144 has 315 divisors, whose sum is σ = 120316793183433. Its totient is φ = 13222762278912.

The previous prime is 40125738222107. The next prime is 40125738222149. The reversal of 40125738222144 is 44122283752104.

The square root of 40125738222144 is 6334488.

It is a perfect power (a square), and thus also a powerful number.

40125738222144 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 5 + 7 + 382 + 221 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18017987457600 + 22107750764544 = 4244760^2 + 4701888^2 .

It is a super-2 number, since 2×40125738222144² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40125738222144.

It is not an unprimeable number, because it can be changed into a prime (40125738222149) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 44240063739 + ... + 44240064645.

Almost surely, 2^{40125738222144} is an apocalyptic number.

40125738222144 is the 6334488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40125738222144

40125738222144 is an abundant number, since it is smaller than the sum of its proper divisors (80191054961289).

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

40125738222144 is an frugal number, since it uses more digits than its factorization.

40125738222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 40125738222144 in words is "forty trillion, one hundred twenty-five billion, seven hundred thirty-eight million, two hundred twenty-two thousand, one hundred forty-four".