4375242639360 has 768 divisors, whose sum is σ = 17035855200000. Its totient is φ = 1060201562112.

The previous prime is 4375242639349. The next prime is 4375242639373. The reversal of 4375242639360 is 639362425734.

4375242639360 is a `hidden beast` number, since 4 + 3 + 7 + 5 + 242 + 6 + 39 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 4375242639297 and 4375242639306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136288591 + ... + 136320689.

It is an arithmetic number, because the mean of its divisors is an integer number (22182103125).

Almost surely, 2^{4375242639360} is an apocalyptic number.

4375242639360 is a gapful number since it is divisible by the number (40) 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 4375242639360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8517927600000).

4375242639360 is an abundant number, since it is smaller than the sum of its proper divisors (12660612560640).

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

4375242639360 is a wasteful number, since it uses less digits than its factorization.

4375242639360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32181 (or 32155 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 4375242639360 in words is "four trillion, three hundred seventy-five billion, two hundred forty-two million, six hundred thirty-nine thousand, three hundred sixty".