1345040000 has 320 divisors, whose sum is σ = 3785538240. Its totient is φ = 473088000.

The previous prime is 1345039987. The next prime is 1345040003. The reversal of 1345040000 is 405431.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (1345040003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31279979 + ... + 31280021.

It is an arithmetic number, because the mean of its divisors is an integer number (11829807).

Almost surely, 2^1345040000 is an apocalyptic number.

1345040000 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 1345040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892769120).

1345040000 is an abundant number, since it is smaller than the sum of its proper divisors (2440498240).

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

1345040000 is an equidigital number, since it uses as much as digits as its factorization.

1345040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 1345040000 is about 36674.7869796131. The cubic root of 1345040000 is about 1103.8542480692.

Adding to 1345040000 its reverse (405431), we get a palindrome (1345445431).

The spelling of 1345040000 in words is "one billion, three hundred forty-five million, forty thousand".