40028299196160 has 288 divisors, whose sum is σ = 140060818130688. Its totient is φ = 9662180392960.

The previous prime is 40028299196131. The next prime is 40028299196209. The reversal of 40028299196160 is 6169199282004.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 40028299196160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7808359 + ... + 11875481.

It is an arithmetic number, because the mean of its divisors is an integer number (486322285176).

Almost surely, 2^{40028299196160} is an apocalyptic number.

40028299196160 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 40028299196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70030409065344).

40028299196160 is an abundant number, since it is smaller than the sum of its proper divisors (100032518934528).

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

40028299196160 is a wasteful number, since it uses less digits than its factorization.

40028299196160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067391 (or 4067377 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 57.

The spelling of 40028299196160 in words is "forty trillion, twenty-eight billion, two hundred ninety-nine million, one hundred ninety-six thousand, one hundred sixty".