33404004001040 has 20 divisors (see below), whose sum is σ = 77664309302604. Its totient is φ = 13361601600384.

The previous prime is 33404004001031. The next prime is 33404004001061. The reversal of 33404004001040 is 4010040040433.

It can be written as a sum of positive squares in 2 ways, for example, as 5555712987136 + 27848291013904 = 2357056^2 + 5277148^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×33404004001040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33404004000997 and 33404004001015.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208775024927 + ... + 208775025086.

Almost surely, 2^{33404004001040} is an apocalyptic number.

It is an amenable number.

33404004001040 is an abundant number, since it is smaller than the sum of its proper divisors (44260305301564).

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

33404004001040 is a wasteful number, since it uses less digits than its factorization.

33404004001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417550050026 (or 417550050020 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 33404004001040 its reverse (4010040040433), we get a palindrome (37414044041473).

The spelling of 33404004001040 in words is "thirty-three trillion, four hundred four billion, four million, one thousand, forty".