40053200800000 has 216 divisors, whose sum is σ = 105190601745600. Its totient is φ = 15178049280000.

The previous prime is 40053200799907. The next prime is 40053200800009. The reversal of 40053200800000 is 800235004.

It is not an unprimeable number, because it can be changed into a prime (40053200800009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13882461 + ... + 16517539.

It is an arithmetic number, because the mean of its divisors is an integer number (486993526600).

Almost surely, 2^{40053200800000} is an apocalyptic number.

40053200800000 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 40053200800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52595300872800).

40053200800000 is an abundant number, since it is smaller than the sum of its proper divisors (65137400945600).

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

40053200800000 is an frugal number, since it uses more digits than its factorization.

40053200800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635139 (or 2635105 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 40053200800000 in words is "forty trillion, fifty-three billion, two hundred million, eight hundred thousand".