948630061440 has 960 divisors, whose sum is σ = 3756560211360. Its totient is φ = 227653189632.

The previous prime is 948630061429. The next prime is 948630061447. The reversal of 948630061440 is 44160036849.

948630061440 is a `hidden beast` number, since 9 + 4 + 8 + 630 + 0 + 6 + 1 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948630061447) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 344579104 + ... + 344581856.

Almost surely, 2^948630061440 is an apocalyptic number.

948630061440 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 948630061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878280105680).

948630061440 is an abundant number, since it is smaller than the sum of its proper divisors (2807930149920).

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

948630061440 is a wasteful number, since it uses less digits than its factorization.

948630061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 948630061440 in words is "nine hundred forty-eight billion, six hundred thirty million, sixty-one thousand, four hundred forty".