390836712420 has 1152 divisors, whose sum is σ = 1591098163200. Its totient is φ = 75271680000.

The previous prime is 390836712419. The next prime is 390836712457. The reversal of 390836712420 is 24217638093.

390836712420 is a `hidden beast` number, since 3 + 90 + 83 + 67 + 1 + 2 + 420 = 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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1964003481 + ... + 1964003679.

It is an arithmetic number, because the mean of its divisors is an integer number (1381161600).

Almost surely, 2^390836712420 is an apocalyptic number.

390836712420 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 390836712420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795549081600).

390836712420 is an abundant number, since it is smaller than the sum of its proper divisors (1200261450780).

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

390836712420 is a wasteful number, since it uses less digits than its factorization.

390836712420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 390836712420 in words is "three hundred ninety billion, eight hundred thirty-six million, seven hundred twelve thousand, four hundred twenty".