314540411130 has 144 divisors (see below), whose sum is σ = 899540328960. Its totient is φ = 76198731840.

The previous prime is 314540411123. The next prime is 314540411161. The reversal of 314540411130 is 31114045413.

314540411130 is a `hidden beast` number, since 3 + 1 + 4 + 540 + 4 + 1 + 113 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 314540411094 and 314540411103.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16793911 + ... + 16812629.

It is an arithmetic number, because the mean of its divisors is an integer number (6246807840).

Almost surely, 2^314540411130 is an apocalyptic number.

314540411130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314540411130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449770164480).

314540411130 is an abundant number, since it is smaller than the sum of its proper divisors (584999917830).

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

314540411130 is a wasteful number, since it uses less digits than its factorization.

314540411130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20297 (or 20283 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 314540411130 its reverse (31114045413), we get a palindrome (345654456543).

The spelling of 314540411130 in words is "three hundred fourteen billion, five hundred forty million, four hundred eleven thousand, one hundred thirty".