314642412212040 has 640 divisors, whose sum is σ = 1192207709531520. Its totient is φ = 73765375488000.

The previous prime is 314642412212027. The next prime is 314642412212047. The reversal of 314642412212040 is 40212214246413.

314642412212040 is a `hidden beast` number, since 3 + 1 + 4 + 6 + 424 + 1 + 2 + 21 + 204 + 0 = 666.

It is a super-2 number, since 2×314642412212040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 314642412211986 and 314642412212004.

It is not an unprimeable number, because it can be changed into a prime (314642412212047) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 153768132 + ... + 155800908.

It is an arithmetic number, because the mean of its divisors is an integer number (1862824546143).

Almost surely, 2^{314642412212040} is an apocalyptic number.

314642412212040 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 314642412212040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596103854765760).

314642412212040 is an abundant number, since it is smaller than the sum of its proper divisors (877565297319480).

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

314642412212040 is a wasteful number, since it uses less digits than its factorization.

314642412212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032955 (or 2032942 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 314642412212040 its reverse (40212214246413), we get a palindrome (354854626458453).

The spelling of 314642412212040 in words is "three hundred fourteen trillion, six hundred forty-two billion, four hundred twelve million, two hundred twelve thousand, forty".