389986914240 has 2688 divisors, whose sum is σ = 1893066080256. Its totient is φ = 71221248000.

The previous prime is 389986914217. The next prime is 389986914293. The reversal of 389986914240 is 42419689983.

389986914240 is a `hidden beast` number, since 38 + 9 + 98 + 6 + 91 + 424 + 0 = 666.

It is a super-2 number, since 2×389986914240² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 383 ways as a sum of consecutive naturals, for example, 5492773405 + ... + 5492773475.

Almost surely, 2^389986914240 is an apocalyptic number.

389986914240 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 389986914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946533040128).

389986914240 is an abundant number, since it is smaller than the sum of its proper divisors (1503079166016).

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

389986914240 is a wasteful number, since it uses less digits than its factorization.

389986914240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 389986914240 in words is "three hundred eighty-nine billion, nine hundred eighty-six million, nine hundred fourteen thousand, two hundred forty".