1034540230400 has 216 divisors, whose sum is σ = 2594463058320. Its totient is φ = 408376442880.

The previous prime is 1034540230357. The next prime is 1034540230403. The reversal of 1034540230400 is 40320454301.

1034540230400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1034540230400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034540230403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235281002 + ... + 235285398.

Almost surely, 2^{1034540230400} is an apocalyptic number.

1034540230400 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 1034540230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297231529160).

1034540230400 is an abundant number, since it is smaller than the sum of its proper divisors (1559922827920).

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

1034540230400 is an equidigital number, since it uses as much as digits as its factorization.

1034540230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4899 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 1034540230400 its reverse (40320454301), we get a palindrome (1074860684701).

The spelling of 1034540230400 in words is "one trillion, thirty-four billion, five hundred forty million, two hundred thirty thousand, four hundred".