40202040004020 has 72 divisors (see below), whose sum is σ = 123203365261704. Its totient is φ = 10610022924288.

The previous prime is 40202040003943. The next prime is 40202040004043. The reversal of 40202040004020 is 2040004020204.

40202040004020 is a `hidden beast` number, since 4 + 0 + 202 + 0 + 400 + 0 + 40 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16048628893476 + 24153411110544 = 4006074^2 + 4914612^2 .

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 = 40202040003984 and 40202040004002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151243709 + ... + 1151278628.

It is an arithmetic number, because the mean of its divisors is an integer number (1711157850857).

Almost surely, 2^{40202040004020} is an apocalyptic number.

It is an amenable number.

40202040004020 is an abundant number, since it is smaller than the sum of its proper divisors (83001325257684).

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

40202040004020 is a wasteful number, since it uses less digits than its factorization.

40202040004020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302522449 (or 2302522444 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 40202040004020 its reverse (2040004020204), we get a palindrome (42242044024224).

The spelling of 40202040004020 in words is "forty trillion, two hundred two billion, forty million, four thousand, twenty".