1020034214320 has 160 divisors (see below), whose sum is σ = 2744139720960. Its totient is φ = 348716160000.

The previous prime is 1020034214299. The next prime is 1020034214351. The reversal of 1020034214320 is 234124300201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1020034214291 and 1020034214300.

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, 1957470 + ... + 2423170.

It is an arithmetic number, because the mean of its divisors is an integer number (17150873256).

Almost surely, 2^{1020034214320} is an apocalyptic number.

1020034214320 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 1020034214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372069860480).

1020034214320 is an abundant number, since it is smaller than the sum of its proper divisors (1724105506640).

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

1020034214320 is a wasteful number, since it uses less digits than its factorization.

1020034214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465875 (or 465869 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1020034214320 its reverse (234124300201), we get a palindrome (1254158514521).

The spelling of 1020034214320 in words is "one trillion, twenty billion, thirty-four million, two hundred fourteen thousand, three hundred twenty".