4380136680960 has 1280 divisors, whose sum is σ = 17074603941120. Its totient is φ = 1059984506880.

The previous prime is 4380136680919. The next prime is 4380136681001. The reversal of 4380136680960 is 690866310834.

4380136680960 is a `hidden beast` number, since 43 + 80 + 1 + 366 + 80 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4380136680919) and next prime (4380136681001).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-3 number, since 3×4380136680960³ (a number of 39 digits) contains 333 as substring.

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 = 4380136680897 and 4380136680906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3798903744 + ... + 3798904896.

It is an arithmetic number, because the mean of its divisors is an integer number (13339534329).

Almost surely, 2^{4380136680960} is an apocalyptic number.

4380136680960 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 4380136680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8537301970560).

4380136680960 is an abundant number, since it is smaller than the sum of its proper divisors (12694467260160).

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

4380136680960 is a wasteful number, since it uses less digits than its factorization.

4380136680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 4380136680960 in words is "four trillion, three hundred eighty billion, one hundred thirty-six million, six hundred eighty thousand, nine hundred sixty".