40101522120 has 576 divisors, whose sum is σ = 154350705600. Its totient is φ = 9285788160.

The previous prime is 40101522119. The next prime is 40101522137. The reversal of 40101522120 is 2122510104.

40101522120 is a `hidden beast` number, since 40 + 101 + 522 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40101522093 and 40101522102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56560326 + ... + 56561034.

It is an arithmetic number, because the mean of its divisors is an integer number (267969975).

Almost surely, 2^40101522120 is an apocalyptic number.

40101522120 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 40101522120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77175352800).

40101522120 is an abundant number, since it is smaller than the sum of its proper divisors (114249183480).

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

40101522120 is a wasteful number, since it uses less digits than its factorization.

40101522120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 40101522120 in words is "forty billion, one hundred one million, five hundred twenty-two thousand, one hundred twenty".