40254663120 has 640 divisors, whose sum is σ = 164149493760. Its totient is φ = 7936081920.

The previous prime is 40254663083. The next prime is 40254663217. The reversal of 40254663120 is 2136645204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16820644 + ... + 16823036.

It is an arithmetic number, because the mean of its divisors is an integer number (256483584).

Almost surely, 2^40254663120 is an apocalyptic number.

40254663120 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 40254663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82074746880).

40254663120 is an abundant number, since it is smaller than the sum of its proper divisors (123894830640).

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

40254663120 is a wasteful number, since it uses less digits than its factorization.

40254663120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 40254663120 in words is "forty billion, two hundred fifty-four million, six hundred sixty-three thousand, one hundred twenty".