4077640040 has 32 divisors (see below), whose sum is σ = 9177921000. Its totient is φ = 1630481664.

The previous prime is 4077640001. The next prime is 4077640057. The reversal of 4077640040 is 400467704.

It can be written as a sum of positive squares in 4 ways, for example, as 2610596836 + 1467043204 = 51094^2 + 38302^2 .

It is a super-2 number, since 2×4077640040² = 33254296591622403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4077639979 and 4077640006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107966 + ... + 140754.

Almost surely, 2^4077640040 is an apocalyptic number.

4077640040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4077640040 is an abundant number, since it is smaller than the sum of its proper divisors (5100280960).

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

4077640040 is a wasteful number, since it uses less digits than its factorization.

4077640040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35909 (or 35905 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 32.

The square root of 4077640040 is about 63856.4017150982. The cubic root of 4077640040 is about 1597.6057993724.

The spelling of 4077640040 in words is "four billion, seventy-seven million, six hundred forty thousand, forty".