20456116041240 has 384 divisors, whose sum is σ = 73564972416000. Its totient is φ = 4888066176000.

The previous prime is 20456116041211. The next prime is 20456116041269. The reversal of 20456116041240 is 4214061165402.

20456116041240 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 6 + 1 + 1 + 604 + 1 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (20456116041211) and next prime (20456116041269).

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

It is a junction number, because it is equal to n+sod(n) for n = 20456116041195 and 20456116041204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2378890461 + ... + 2378899059.

It is an arithmetic number, because the mean of its divisors is an integer number (191575449000).

Almost surely, 2^{20456116041240} is an apocalyptic number.

20456116041240 is a gapful number since it is divisible by the number (20) 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 20456116041240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36782486208000).

20456116041240 is an abundant number, since it is smaller than the sum of its proper divisors (53108856374760).

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

20456116041240 is a wasteful number, since it uses less digits than its factorization.

20456116041240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17159 (or 17152 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 20456116041240 in words is "twenty trillion, four hundred fifty-six billion, one hundred sixteen million, forty-one thousand, two hundred forty".