314690135400 has 480 divisors, whose sum is σ = 1152375618240. Its totient is φ = 79432151040.

The previous prime is 314690135387. The next prime is 314690135401. The reversal of 314690135400 is 4531096413.

314690135400 is a `hidden beast` number, since 3 + 14 + 6 + 90 + 13 + 540 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (314690135401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36137847 + ... + 36146553.

It is an arithmetic number, because the mean of its divisors is an integer number (2400782538).

Almost surely, 2^314690135400 is an apocalyptic number.

314690135400 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 314690135400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576187809120).

314690135400 is an abundant number, since it is smaller than the sum of its proper divisors (837685482840).

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

314690135400 is a wasteful number, since it uses less digits than its factorization.

314690135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8855 (or 8837 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 314690135400 in words is "three hundred fourteen billion, six hundred ninety million, one hundred thirty-five thousand, four hundred".