4079382742080 has 336 divisors, whose sum is σ = 14488880140800. Its totient is φ = 1052389416960.

The previous prime is 4079382742063. The next prime is 4079382742109. The reversal of 4079382742080 is 802472839704.

It is a happy number.

4079382742080 is a `hidden beast` number, since 40 + 79 + 38 + 2 + 7 + 420 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 358810636 + ... + 358822004.

Almost surely, 2^{4079382742080} is an apocalyptic number.

4079382742080 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 4079382742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244440070400).

4079382742080 is an abundant number, since it is smaller than the sum of its proper divisors (10409497398720).

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

4079382742080 is a wasteful number, since it uses less digits than its factorization.

4079382742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15442 (or 15429 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 4079382742080 in words is "four trillion, seventy-nine billion, three hundred eighty-two million, seven hundred forty-two thousand, eighty".