986421421440 has 1280 divisors, whose sum is σ = 4360560906240. Its totient is φ = 206928691200.

The previous prime is 986421421421. The next prime is 986421421519. The reversal of 986421421440 is 44124124689.

986421421440 is a `hidden beast` number, since 9 + 8 + 6 + 421 + 4 + 214 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 995379345 + ... + 995380335.

It is an arithmetic number, because the mean of its divisors is an integer number (3406688208).

Almost surely, 2^986421421440 is an apocalyptic number.

986421421440 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 986421421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180280453120).

986421421440 is an abundant number, since it is smaller than the sum of its proper divisors (3374139484800).

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

986421421440 is a wasteful number, since it uses less digits than its factorization.

986421421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 986421421440 in words is "nine hundred eighty-six billion, four hundred twenty-one million, four hundred twenty-one thousand, four hundred forty".