1021200040434 has 128 divisors (see below), whose sum is σ = 2456691793920. Its totient is φ = 276684401664.

The previous prime is 1021200040429. The next prime is 1021200040439. The reversal of 1021200040434 is 4340400021201.

It is an interprime number because it is at equal distance from previous prime (1021200040429) and next prime (1021200040439).

It is a super-3 number, since 3×1021200040434³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1021200040434.

It is not an unprimeable number, because it can be changed into a prime (1021200040439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62746122 + ... + 62762394.

It is an arithmetic number, because the mean of its divisors is an integer number (19192904640).

Almost surely, 2^{1021200040434} is an apocalyptic number.

1021200040434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021200040434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228345896960).

1021200040434 is an abundant number, since it is smaller than the sum of its proper divisors (1435491753486).

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

1021200040434 is a wasteful number, since it uses less digits than its factorization.

1021200040434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16864.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1021200040434 its reverse (4340400021201), we get a palindrome (5361600061635).

The spelling of 1021200040434 in words is "one trillion, twenty-one billion, two hundred million, forty thousand, four hundred thirty-four".