40206500034480 has 960 divisors, whose sum is σ = 154495631646720. Its totient is φ = 9301572403200.

The previous prime is 40206500034431. The next prime is 40206500034523. The reversal of 40206500034480 is 8443000560204.

40206500034480 is a `hidden beast` number, since 4 + 0 + 206 + 5 + 0 + 0 + 0 + 3 + 448 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1380276556 + ... + 1380305684.

It is an arithmetic number, because the mean of its divisors is an integer number (160932949632).

Almost surely, 2^{40206500034480} is an apocalyptic number.

40206500034480 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 40206500034480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77247815823360).

40206500034480 is an abundant number, since it is smaller than the sum of its proper divisors (114289131612240).

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

40206500034480 is a wasteful number, since it uses less digits than its factorization.

40206500034480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29330 (or 29321 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 40206500034480 its reverse (8443000560204), we get a palindrome (48649500594684).

The spelling of 40206500034480 in words is "forty trillion, two hundred six billion, five hundred million, thirty-four thousand, four hundred eighty".