40657433220 has 144 divisors (see below), whose sum is σ = 129648355200. Its totient is φ = 10693368576.

The previous prime is 40657433207. The next prime is 40657433249. The reversal of 40657433220 is 2233475604.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 297481 + ... + 412079.

It is an arithmetic number, because the mean of its divisors is an integer number (900335800).

Almost surely, 2^40657433220 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 40657433220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64824177600).

40657433220 is an abundant number, since it is smaller than the sum of its proper divisors (88990921980).

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

40657433220 is a wasteful number, since it uses less digits than its factorization.

40657433220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114696 (or 114682 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

It can be divided in two parts, 40657433 and 220, that added together give a triangular number (40657653 = T₉₀₁₇).

The spelling of 40657433220 in words is "forty billion, six hundred fifty-seven million, four hundred thirty-three thousand, two hundred twenty".