980842262400 has 2304 divisors, whose sum is σ = 4860838886400. Its totient is φ = 187951104000.

The previous prime is 980842262383. The next prime is 980842262417. The reversal of 980842262400 is 4262248089.

980842262400 is a `hidden beast` number, since 98 + 0 + 84 + 22 + 62 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (980842262383) and next prime (980842262417).

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 287 ways as a sum of consecutive naturals, for example, 951349885 + ... + 951350915.

It is an arithmetic number, because the mean of its divisors is an integer number (2109739100).

Almost surely, 2^980842262400 is an apocalyptic number.

980842262400 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 980842262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2430419443200).

980842262400 is an abundant number, since it is smaller than the sum of its proper divisors (3879996624000).

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

980842262400 is a wasteful number, since it uses less digits than its factorization.

980842262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1072 counting only the distinct ones).

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

The spelling of 980842262400 in words is "nine hundred eighty billion, eight hundred forty-two million, two hundred sixty-two thousand, four hundred".