1034120555440 has 160 divisors (see below), whose sum is σ = 2867916441600. Its totient is φ = 339064399872.

The previous prime is 1034120555401. The next prime is 1034120555443. The reversal of 1034120555440 is 445550214301.

1034120555440 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 2×1034120555440² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1034120555396 and 1034120555405.

It is not an unprimeable number, because it can be changed into a prime (1034120555443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110750452 + ... + 110759788.

It is an arithmetic number, because the mean of its divisors is an integer number (17924477760).

Almost surely, 2^{1034120555440} is an apocalyptic number.

1034120555440 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 1034120555440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433958220800).

1034120555440 is an abundant number, since it is smaller than the sum of its proper divisors (1833795886160).

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

1034120555440 is a wasteful number, since it uses less digits than its factorization.

1034120555440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17979 (or 17973 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 1034120555440 its reverse (445550214301), we get a palindrome (1479670769741).

The spelling of 1034120555440 in words is "one trillion, thirty-four billion, one hundred twenty million, five hundred fifty-five thousand, four hundred forty".