40420541201040 has 2560 divisors, whose sum is σ = 194984000225280. Its totient is φ = 7424350617600.

The previous prime is 40420541200997. The next prime is 40420541201041. The reversal of 40420541201040 is 4010214502404.

40420541201040 is a `hidden beast` number, since 4 + 0 + 4 + 205 + 412 + 0 + 1 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40420541200995 and 40420541201013.

It is not an unprimeable number, because it can be changed into a prime (40420541201041) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 6501612012 + ... + 6501618228.

It is an arithmetic number, because the mean of its divisors is an integer number (76165625088).

Almost surely, 2^{40420541201040} is an apocalyptic number.

40420541201040 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 40420541201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97492000112640).

40420541201040 is an abundant number, since it is smaller than the sum of its proper divisors (154563459024240).

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

40420541201040 is a wasteful number, since it uses less digits than its factorization.

40420541201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6398 (or 6386 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 40420541201040 its reverse (4010214502404), we get a palindrome (44430755703444).

The spelling of 40420541201040 in words is "forty trillion, four hundred twenty billion, five hundred forty-one million, two hundred one thousand, forty".