40242121920 has 2016 divisors, whose sum is σ = 198320338944. Its totient is φ = 7554539520.

The previous prime is 40242121891. The next prime is 40242121921. The reversal of 40242121920 is 2912124204.

40242121920 is a `hidden beast` number, since 4 + 0 + 2 + 421 + 219 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40242121921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 856215337 + ... + 856215383.

It is an arithmetic number, because the mean of its divisors is an integer number (98373184).

Almost surely, 2^40242121920 is an apocalyptic number.

40242121920 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 40242121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99160169472).

40242121920 is an abundant number, since it is smaller than the sum of its proper divisors (158078217024).

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

40242121920 is a wasteful number, since it uses less digits than its factorization.

40242121920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 40242121920 in words is "forty billion, two hundred forty-two million, one hundred twenty-one thousand, nine hundred twenty".