399111546240 has 640 divisors, whose sum is σ = 1558850879520. Its totient is φ = 96507002880.

The previous prime is 399111546233. The next prime is 399111546241. The reversal of 399111546240 is 42645111993.

399111546240 is a `hidden beast` number, since 3 + 9 + 9 + 1 + 1 + 15 + 4 + 624 + 0 = 666.

399111546240 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399111546241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 329027874 + ... + 329029086.

Almost surely, 2^399111546240 is an apocalyptic number.

399111546240 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 399111546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779425439760).

399111546240 is an abundant number, since it is smaller than the sum of its proper divisors (1159739333280).

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

399111546240 is a wasteful number, since it uses less digits than its factorization.

399111546240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 399111546240 in words is "three hundred ninety-nine billion, one hundred eleven million, five hundred forty-six thousand, two hundred forty".