314111419920 has 240 divisors, whose sum is σ = 1062628362432. Its totient is φ = 83150976000.

The previous prime is 314111419913. The next prime is 314111419931. The reversal of 314111419920 is 29914111413.

314111419920 is a `hidden beast` number, since 3 + 141 + 11 + 419 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57285499 + ... + 57290981.

Almost surely, 2^314111419920 is an apocalyptic number.

314111419920 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 314111419920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531314181216).

314111419920 is an abundant number, since it is smaller than the sum of its proper divisors (748516942512).

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

314111419920 is a wasteful number, since it uses less digits than its factorization.

314111419920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6070 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 314111419920 in words is "three hundred fourteen billion, one hundred eleven million, four hundred nineteen thousand, nine hundred twenty".