399483419106240 has 1344 divisors, whose sum is σ = 1642700787646464. Its totient is φ = 90516127629312.

The previous prime is 399483419106143. The next prime is 399483419106257. The reversal of 399483419106240 is 42601914384993.

399483419106240 is a `hidden beast` number, since 3 + 9 + 9 + 48 + 341 + 9 + 1 + 0 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161277115882 + ... + 161277118358.

It is an arithmetic number, because the mean of its divisors is an integer number (1222247609856).

Almost surely, 2^{399483419106240} is an apocalyptic number.

399483419106240 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 399483419106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821350393823232).

399483419106240 is an abundant number, since it is smaller than the sum of its proper divisors (1243217368540224).

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

399483419106240 is a wasteful number, since it uses less digits than its factorization.

399483419106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4976 (or 4954 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 399483419106240 in words is "three hundred ninety-nine trillion, four hundred eighty-three billion, four hundred nineteen million, one hundred six thousand, two hundred forty".