10214004620 has 96 divisors (see below), whose sum is σ = 22553137152. Its totient is φ = 3880800000.

The previous prime is 10214004601. The next prime is 10214004641. The reversal of 10214004620 is 2640041201.

It is a super-3 number, since 3×10214004620³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10214004592 and 10214004601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14570270 + ... + 14570970.

It is an arithmetic number, because the mean of its divisors is an integer number (234928512).

Almost surely, 2^10214004620 is an apocalyptic number.

10214004620 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 10214004620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11276568576).

10214004620 is an abundant number, since it is smaller than the sum of its proper divisors (12339132532).

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

10214004620 is a wasteful number, since it uses less digits than its factorization.

10214004620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10214004620 its reverse (2640041201), we get a palindrome (12854045821).

The spelling of 10214004620 in words is "ten billion, two hundred fourteen million, four thousand, six hundred twenty".