245040130033040 has 80 divisors (see below), whose sum is σ = 570457360110960. Its totient is φ = 97888917135360.

The previous prime is 245040130032989. The next prime is 245040130033051. The reversal of 245040130033040 is 40330031040542.

245040130033040 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 8 ways, for example, as 32834366896384 + 212205763136656 = 5730128^2 + 14567284^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×245040130033040³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 245040130032994 and 245040130033012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147831910 + ... + 1148045370.

It is an arithmetic number, because the mean of its divisors is an integer number (7130717001387).

Almost surely, 2^{245040130033040} is an apocalyptic number.

245040130033040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245040130033040 is an abundant number, since it is smaller than the sum of its proper divisors (325417230077920).

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

245040130033040 is a wasteful number, since it uses less digits than its factorization.

245040130033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232020 (or 232014 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 245040130033040 its reverse (40330031040542), we get a palindrome (285370161073582).

The spelling of 245040130033040 in words is "two hundred forty-five trillion, forty billion, one hundred thirty million, thirty-three thousand, forty".