20401474504950 has 2304 divisors, whose sum is σ = 79407317606400. Its totient is φ = 3790339660800.

The previous prime is 20401474504949. The next prime is 20401474504951. The reversal of 20401474504950 is 5940547410402.

20401474504950 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 147 + 450 + 4 + 9 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (20401474504949) and next prime (20401474504951).

It is a super-2 number, since 2×20401474504950² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 20401474504896 and 20401474504905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20401474504951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 26392592764 + ... + 26392593536.

It is an arithmetic number, because the mean of its divisors is an integer number (34464981600).

Almost surely, 2^{20401474504950} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20401474504950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39703658803200).

20401474504950 is an abundant number, since it is smaller than the sum of its proper divisors (59005843101450).

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

20401474504950 is a wasteful number, since it uses less digits than its factorization.

20401474504950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 20401474504950 in words is "twenty trillion, four hundred one billion, four hundred seventy-four million, five hundred four thousand, nine hundred fifty".