4008428837776 has 60 divisors (see below), whose sum is σ = 8536929187500. Its totient is φ = 1821931217920.

The previous prime is 4008428837753. The next prime is 4008428837783. The reversal of 4008428837776 is 6777388248004.

It can be written as a sum of positive squares in 2 ways, for example, as 2751617440000 + 1256811397776 = 1658800^2 + 1121076^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71234100 + ... + 71290348.

It is an arithmetic number, because the mean of its divisors is an integer number (142282153125).

Almost surely, 2^{4008428837776} is an apocalyptic number.

It is an amenable number.

4008428837776 is an abundant number, since it is smaller than the sum of its proper divisors (4528500349724).

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

4008428837776 is a wasteful number, since it uses less digits than its factorization.

4008428837776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93088 (or 93071 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 64.

The spelling of 4008428837776 in words is "four trillion, eight billion, four hundred twenty-eight million, eight hundred thirty-seven thousand, seven hundred seventy-six".