40041633420 has 384 divisors, whose sum is σ = 132291532800. Its totient is φ = 10039680000.

The previous prime is 40041633419. The next prime is 40041633421. The reversal of 40041633420 is 2433614004.

40041633420 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 1 + 633 + 4 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (40041633419) and next prime (40041633421).

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 (40041633421) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 159528295 + ... + 159528545.

It is an arithmetic number, because the mean of its divisors is an integer number (344509200).

Almost surely, 2^40041633420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40041633420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66145766400).

40041633420 is an abundant number, since it is smaller than the sum of its proper divisors (92249899380).

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

40041633420 is a wasteful number, since it uses less digits than its factorization.

40041633420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 40041633420 in words is "forty billion, forty-one million, six hundred thirty-three thousand, four hundred twenty".