245214320030400 has 336 divisors, whose sum is σ = 926455550549760. Its totient is φ = 55621131571200.

The previous prime is 245214320030333. The next prime is 245214320030419. The reversal of 245214320030400 is 4030023412542.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23453535 + ... + 32256734.

It is an arithmetic number, because the mean of its divisors is an integer number (2757308186160).

Almost surely, 2^{245214320030400} is an apocalyptic number.

245214320030400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245214320030400 is an abundant number, since it is smaller than the sum of its proper divisors (681241230519360).

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

245214320030400 is a wasteful number, since it uses less digits than its factorization.

245214320030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55710432 (or 55710417 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 245214320030400 its reverse (4030023412542), we get a palindrome (249244343442942).

The spelling of 245214320030400 in words is "two hundred forty-five trillion, two hundred fourteen billion, three hundred twenty million, thirty thousand, four hundred".