40239812229120 has 1152 divisors, whose sum is σ = 168664179640320. Its totient is φ = 8673633239040.

The previous prime is 40239812229107. The next prime is 40239812229203. The reversal of 40239812229120 is 2192221893204.

40239812229120 is a `hidden beast` number, since 4 + 0 + 2 + 398 + 12 + 229 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1053461862 + ... + 1053500058.

It is an arithmetic number, because the mean of its divisors is an integer number (146409878160).

Almost surely, 2^{40239812229120} is an apocalyptic number.

40239812229120 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 40239812229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84332089820160).

40239812229120 is an abundant number, since it is smaller than the sum of its proper divisors (128424367411200).

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

40239812229120 is a wasteful number, since it uses less digits than its factorization.

40239812229120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38331 (or 38308 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 40239812229120 in words is "forty trillion, two hundred thirty-nine billion, eight hundred twelve million, two hundred twenty-nine thousand, one hundred twenty".