20416153343040 has 1120 divisors, whose sum is σ = 89470035561984. Its totient is φ = 4303400140800.

The previous prime is 20416153343029. The next prime is 20416153343107. The reversal of 20416153343040 is 4034335161402.

20416153343040 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 6 + 15 + 334 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 = 20416153342986 and 20416153343004.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2832819117 + ... + 2832826323.

Almost surely, 2^{20416153343040} is an apocalyptic number.

20416153343040 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 20416153343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44735017780992).

20416153343040 is an abundant number, since it is smaller than the sum of its proper divisors (69053882218944).

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

20416153343040 is a wasteful number, since it uses less digits than its factorization.

20416153343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8457 (or 8438 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

It can be divided in two parts, 20416 and 153343040, that added together give a square (153363456 = 12384²).

The spelling of 20416153343040 in words is "twenty trillion, four hundred sixteen billion, one hundred fifty-three million, three hundred forty-three thousand, forty".