427220743950 has 864 divisors, whose sum is σ = 1565797449216. Its totient is φ = 81259200000.

The previous prime is 427220743913. The next prime is 427220743969. The reversal of 427220743950 is 59347022724.

427220743950 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 207 + 439 + 5 + 0 = 666.

It is a super-2 number, since 2×427220743950² (a number of 24 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 = 427220743896 and 427220743905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 748197165 + ... + 748197735.

Almost surely, 2^427220743950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427220743950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782898724608).

427220743950 is an abundant number, since it is smaller than the sum of its proper divisors (1138576705266).

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

427220743950 is a wasteful number, since it uses less digits than its factorization.

427220743950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 427220743950 in words is "four hundred twenty-seven billion, two hundred twenty million, seven hundred forty-three thousand, nine hundred fifty".