1034400020040 has 48 divisors (see below), whose sum is σ = 3361800066300. Its totient is φ = 275840005248.

The previous prime is 1034400019987. The next prime is 1034400020041. The reversal of 1034400020040 is 400200044301.

1034400020040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 993367035684 + 41032984356 = 996678^2 + 202566^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1034400019995 and 1034400020022.

It is not an unprimeable number, because it can be changed into a prime (1034400020041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1436666335 + ... + 1436667054.

Almost surely, 2^{1034400020040} is an apocalyptic number.

1034400020040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034400020040 is an abundant number, since it is smaller than the sum of its proper divisors (2327400046260).

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

1034400020040 is a wasteful number, since it uses less digits than its factorization.

1034400020040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873333406 (or 2873333399 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 1034400020040 its reverse (400200044301), we get a palindrome (1434600064341).

The spelling of 1034400020040 in words is "one trillion, thirty-four billion, four hundred million, twenty thousand, forty".