1020134252040 has 128 divisors (see below), whose sum is σ = 3079952104320. Its totient is φ = 270300672000.

The previous prime is 1020134251849. The next prime is 1020134252083. The reversal of 1020134252040 is 402524310201.

1020134252040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1020134252040.

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, 26066167 + ... + 26105273.

It is an arithmetic number, because the mean of its divisors is an integer number (24062125815).

Almost surely, 2^{1020134252040} is an apocalyptic number.

1020134252040 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 1020134252040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539976052160).

1020134252040 is an abundant number, since it is smaller than the sum of its proper divisors (2059817852280).

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

1020134252040 is a wasteful number, since it uses less digits than its factorization.

1020134252040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40503 (or 40499 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 1020134252040 its reverse (402524310201), we get a palindrome (1422658562241).

The spelling of 1020134252040 in words is "one trillion, twenty billion, one hundred thirty-four million, two hundred fifty-two thousand, forty".