20403156742416 has 240 divisors, whose sum is σ = 68705431142400. Its totient is φ = 5521605864192.

The previous prime is 20403156742391. The next prime is 20403156742417. The reversal of 20403156742416 is 61424765130402.

20403156742416 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 3 + 1 + 567 + 42 + 41 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (20403156742417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103072945 + ... + 103270703.

It is an arithmetic number, because the mean of its divisors is an integer number (286272629760).

Almost surely, 2^{20403156742416} 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 20403156742416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34352715571200).

20403156742416 is an abundant number, since it is smaller than the sum of its proper divisors (48302274399984).

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

20403156742416 is a wasteful number, since it uses less digits than its factorization.

20403156742416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203186 (or 203177 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 20403156742416 in words is "twenty trillion, four hundred three billion, one hundred fifty-six million, seven hundred forty-two thousand, four hundred sixteen".