314419964040 has 1536 divisors, whose sum is σ = 1381161600000. Its totient is φ = 61817333760.

The previous prime is 314419964029. The next prime is 314419964057. The reversal of 314419964040 is 40469914413.

314419964040 is a `hidden beast` number, since 3 + 144 + 19 + 96 + 404 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5154425610 + ... + 5154425670.

It is an arithmetic number, because the mean of its divisors is an integer number (899193750).

Almost surely, 2^314419964040 is an apocalyptic number.

314419964040 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 314419964040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690580800000).

314419964040 is an abundant number, since it is smaller than the sum of its proper divisors (1066741635960).

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

314419964040 is a wasteful number, since it uses less digits than its factorization.

314419964040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 314419964040 in words is "three hundred fourteen billion, four hundred nineteen million, nine hundred sixty-four thousand, forty".