20371101791040 has 6720 divisors, whose sum is σ = 108285805393920. Its totient is φ = 3498976051200.

The previous prime is 20371101790969. The next prime is 20371101791113. The reversal of 20371101791040 is 4019710117302.

20371101791040 is a `hidden beast` number, since 2 + 0 + 371 + 10 + 179 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6720).

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 = 20371101790986 and 20371101791004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 473746553259 + ... + 473746553301.

It is an arithmetic number, because the mean of its divisors is an integer number (16113959136).

Almost surely, 2^{20371101791040} is an apocalyptic number.

20371101791040 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 20371101791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54142902696960).

20371101791040 is an abundant number, since it is smaller than the sum of its proper divisors (87914703602880).

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

20371101791040 is a wasteful number, since it uses less digits than its factorization.

20371101791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 20371101791040 in words is "twenty trillion, three hundred seventy-one billion, one hundred one million, seven hundred ninety-one thousand, forty".