407027704040 has 128 divisors (see below), whose sum is σ = 981703476000. Its totient is φ = 151869620224.

The previous prime is 407027703997. The next prime is 407027704049. The reversal of 407027704040 is 40407720704.

It can be written as a sum of positive squares in 16 ways, for example, as 807582724 + 406220121316 = 28418^2 + 637354^2 .

It is not an unprimeable number, because it can be changed into a prime (407027704049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22197596 + ... + 22215924.

Almost surely, 2^407027704040 is an apocalyptic number.

407027704040 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 407027704040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490851738000).

407027704040 is an abundant number, since it is smaller than the sum of its proper divisors (574675771960).

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

407027704040 is a wasteful number, since it uses less digits than its factorization.

407027704040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18504 (or 18466 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 35.

The spelling of 407027704040 in words is "four hundred seven billion, twenty-seven million, seven hundred four thousand, forty".