948041403120 has 960 divisors, whose sum is σ = 4137218058240. Its totient is φ = 195060400128.

The previous prime is 948041403119. The next prime is 948041403121. The reversal of 948041403120 is 21304140849.

It is a happy number.

948041403120 is a `hidden beast` number, since 9 + 480 + 4 + 140 + 31 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (948041403119) and next prime (948041403121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948041403121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 100497924 + ... + 100507356.

It is an arithmetic number, because the mean of its divisors is an integer number (4309602144).

Almost surely, 2^948041403120 is an apocalyptic number.

948041403120 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 948041403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068609029120).

948041403120 is an abundant number, since it is smaller than the sum of its proper divisors (3189176655120).

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

948041403120 is a wasteful number, since it uses less digits than its factorization.

948041403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9519 (or 9490 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 948041403120 its reverse (21304140849), we get a palindrome (969345543969).

The spelling of 948041403120 in words is "nine hundred forty-eight billion, forty-one million, four hundred three thousand, one hundred twenty".