986378342400 has 1560 divisors, whose sum is σ = 4203103528800. Its totient is φ = 226138521600.

The previous prime is 986378342399. The next prime is 986378342423. The reversal of 986378342400 is 4243873689.

986378342400 is a `hidden beast` number, since 98 + 6 + 37 + 83 + 42 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1733529316 + ... + 1733529884.

Almost surely, 2^986378342400 is an apocalyptic number.

986378342400 is a gapful number since it is divisible by the number (90) 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 986378342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2101551764400).

986378342400 is an abundant number, since it is smaller than the sum of its proper divisors (3216725186400).

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

986378342400 is a wasteful number, since it uses less digits than its factorization.

986378342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 986378342400 in words is "nine hundred eighty-six billion, three hundred seventy-eight million, three hundred forty-two thousand, four hundred".