10424080271220 has 384 divisors, whose sum is σ = 36871549747200. Its totient is φ = 2137382208000.

The previous prime is 10424080271159. The next prime is 10424080271221. The reversal of 10424080271220 is 2217208042401.

10424080271220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10424080271220² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10424080271221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 712068661 + ... + 712083299.

It is an arithmetic number, because the mean of its divisors is an integer number (96019660800).

Almost surely, 2^{10424080271220} is an apocalyptic number.

10424080271220 is a gapful number since it is divisible by the number (10) 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 10424080271220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18435774873600).

10424080271220 is an abundant number, since it is smaller than the sum of its proper divisors (26447469475980).

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

10424080271220 is a wasteful number, since it uses less digits than its factorization.

10424080271220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16699 (or 16697 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The spelling of 10424080271220 in words is "ten trillion, four hundred twenty-four billion, eighty million, two hundred seventy-one thousand, two hundred twenty".