315353221550040 has 128 divisors (see below), whose sum is σ = 954793372896000. Its totient is φ = 83317950494208.

The previous prime is 315353221549987. The next prime is 315353221550047. The reversal of 315353221550040 is 40055122353513.

It is a super-2 number, since 2×315353221550040² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315353221550047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232500951 + ... + 233853369.

It is an arithmetic number, because the mean of its divisors is an integer number (7459323225750).

Almost surely, 2^{315353221550040} is an apocalyptic number.

315353221550040 is a gapful number since it is divisible by the number (30) 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 315353221550040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477396686448000).

315353221550040 is an abundant number, since it is smaller than the sum of its proper divisors (639440151345960).

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

315353221550040 is a wasteful number, since it uses less digits than its factorization.

315353221550040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370369 (or 1370365 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 39.

The spelling of 315353221550040 in words is "three hundred fifteen trillion, three hundred fifty-three billion, two hundred twenty-one million, five hundred fifty thousand, forty".