40101201043020 has 768 divisors, whose sum is σ = 149551073280000. Its totient is φ = 8829106790400.

The previous prime is 40101201043019. The next prime is 40101201043087. The reversal of 40101201043020 is 2034010210104.

40101201043020 is a `hidden beast` number, since 4 + 0 + 10 + 1 + 201 + 0 + 430 + 20 = 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 = 40101201042984 and 40101201043002.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 169407706 + ... + 169644254.

It is an arithmetic number, because the mean of its divisors is an integer number (194727960000).

Almost surely, 2^{40101201043020} 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 40101201043020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74775536640000).

40101201043020 is an abundant number, since it is smaller than the sum of its proper divisors (109449872236980).

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

40101201043020 is a wasteful number, since it uses less digits than its factorization.

40101201043020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236671 (or 236663 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 40101201043020 its reverse (2034010210104), we get a palindrome (42135211253124).

The spelling of 40101201043020 in words is "forty trillion, one hundred one billion, two hundred one million, forty-three thousand, twenty".