40205133153120 has 384 divisors, whose sum is σ = 139648527083520. Its totient is φ = 9661153812480.

The previous prime is 40205133153079. The next prime is 40205133153127. The reversal of 40205133153120 is 2135133150204.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40205133153127) 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 63 ways as a sum of consecutive naturals, for example, 113909715 + ... + 114262125.

It is an arithmetic number, because the mean of its divisors is an integer number (363668039280).

Almost surely, 2^{40205133153120} is an apocalyptic number.

40205133153120 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 40205133153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69824263541760).

40205133153120 is an abundant number, since it is smaller than the sum of its proper divisors (99443393930400).

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

40205133153120 is a wasteful number, since it uses less digits than its factorization.

40205133153120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352878 (or 352870 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 40205133153120 in words is "forty trillion, two hundred five billion, one hundred thirty-three million, one hundred fifty-three thousand, one hundred twenty".