4087042780160 has 352 divisors, whose sum is σ = 10292969598912. Its totient is φ = 1555472056320.

The previous prime is 4087042780141. The next prime is 4087042780189. The reversal of 4087042780160 is 610872407804.

It is a super-4 number, since 4×4087042780160⁴ (a number of 52 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4628587079 + ... + 4628587961.

It is an arithmetic number, because the mean of its divisors is an integer number (29241390906).

Almost surely, 2^{4087042780160} is an apocalyptic number.

4087042780160 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 4087042780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5146484799456).

4087042780160 is an abundant number, since it is smaller than the sum of its proper divisors (6205926818752).

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

4087042780160 is a wasteful number, since it uses less digits than its factorization.

4087042780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 47.

The spelling of 4087042780160 in words is "four trillion, eighty-seven billion, forty-two million, seven hundred eighty thousand, one hundred sixty".