948421040400 has 240 divisors, whose sum is σ = 3377078853120. Its totient is φ = 252807206400.

The previous prime is 948421040353. The next prime is 948421040401. The reversal of 948421040400 is 4040124849.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (948421040401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27965854 + ... + 27999746.

It is an arithmetic number, because the mean of its divisors is an integer number (14071161888).

Almost surely, 2^948421040400 is an apocalyptic number.

948421040400 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 948421040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688539426560).

948421040400 is an abundant number, since it is smaller than the sum of its proper divisors (2428657812720).

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

948421040400 is a wasteful number, since it uses less digits than its factorization.

948421040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36511 (or 36494 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 948421040400 in words is "nine hundred forty-eight billion, four hundred twenty-one million, forty thousand, four hundred".