9483870614400 has 2880 divisors, whose sum is σ = 43807714742880. Its totient is φ = 1978154680320.

The previous prime is 9483870614363. The next prime is 9483870614443. The reversal of 9483870614400 is 44160783849.

9483870614400 is a `hidden beast` number, since 9 + 48 + 38 + 70 + 61 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 48141475102 + ... + 48141475298.

Almost surely, 2^{9483870614400} is an apocalyptic number.

9483870614400 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 9483870614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21903857371440).

9483870614400 is an abundant number, since it is smaller than the sum of its proper divisors (34323844128480).

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

9483870614400 is a wasteful number, since it uses less digits than its factorization.

9483870614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 9483870614400 in words is "nine trillion, four hundred eighty-three billion, eight hundred seventy million, six hundred fourteen thousand, four hundred".