390738350520000 has 2240 divisors, whose sum is σ = 1739196974817280. Its totient is φ = 84092774400000.

The previous prime is 390738350519947. The next prime is 390738350520029. The reversal of 390738350520000 is 25053837093.

390738350520000 is a `hidden beast` number, since 3 + 9 + 0 + 73 + 8 + 3 + 50 + 520 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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 319 ways as a sum of consecutive naturals, for example, 8671297470 + ... + 8671342530.

Almost surely, 2^{390738350520000} is an apocalyptic number.

390738350520000 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 390738350520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869598487408640).

390738350520000 is an abundant number, since it is smaller than the sum of its proper divisors (1348458624297280).

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

390738350520000 is a wasteful number, since it uses less digits than its factorization.

390738350520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45177 (or 45146 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 390738350520000 in words is "three hundred ninety trillion, seven hundred thirty-eight billion, three hundred fifty million, five hundred twenty thousand".