34412001040 has 40 divisors (see below), whose sum is σ = 80517536280. Its totient is φ = 13677121536.

The previous prime is 34412001037. The next prime is 34412001047. The reversal of 34412001040 is 4010021443.

It can be written as a sum of positive squares in 4 ways, for example, as 10679982336 + 23732018704 = 103344^2 + 154052^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×34412001040² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34412000999 and 34412001017.

It is not an unprimeable number, because it can be changed into a prime (34412001047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1357345 + ... + 1382464.

It is an arithmetic number, because the mean of its divisors is an integer number (2012938407).

Almost surely, 2^34412001040 is an apocalyptic number.

It is an amenable number.

34412001040 is an abundant number, since it is smaller than the sum of its proper divisors (46105535240).

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

34412001040 is a wasteful number, since it uses less digits than its factorization.

34412001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739979 (or 2739973 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 34412001040 its reverse (4010021443), we get a palindrome (38422022483).

The spelling of 34412001040 in words is "thirty-four billion, four hundred twelve million, one thousand, forty".