4251315313400 has 96 divisors (see below), whose sum is σ = 10127468988000. Its totient is φ = 1658709043200.

The previous prime is 4251315313373. The next prime is 4251315313403. The reversal of 4251315313400 is 43135131524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4251315313403) 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, 41875901 + ... + 41977299.

It is an arithmetic number, because the mean of its divisors is an integer number (105494468625).

Almost surely, 2^{4251315313400} is an apocalyptic number.

4251315313400 is a gapful number since it is divisible by the number (40) 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 4251315313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5063734494000).

4251315313400 is an abundant number, since it is smaller than the sum of its proper divisors (5876153674600).

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

4251315313400 is a wasteful number, since it uses less digits than its factorization.

4251315313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106569 (or 106560 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 4251315313400 in words is "four trillion, two hundred fifty-one billion, three hundred fifteen million, three hundred thirteen thousand, four hundred".