340004014004000 has 48 divisors (see below), whose sum is σ = 835389862417656. Its totient is φ = 136001605600000.

The previous prime is 340004014003939. The next prime is 340004014004033. The reversal of 340004014004000 is 400410400043.

It can be written as a sum of positive squares in 4 ways, for example, as 158984964437776 + 181019049566224 = 12608924^2 + 13454332^2 .

It is a super-2 number, since 2×340004014004000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42500497751 + ... + 42500505750.

Almost surely, 2^{340004014004000} is an apocalyptic number.

It is an amenable number.

340004014004000 is an abundant number, since it is smaller than the sum of its proper divisors (495385848413656).

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

340004014004000 is an equidigital number, since it uses as much as digits as its factorization.

340004014004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85001003526 (or 85001003508 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 340004014004000 its reverse (400410400043), we get a palindrome (340404424404043).

The spelling of 340004014004000 in words is "three hundred forty trillion, four billion, fourteen million, four thousand".