34001542254240 has 432 divisors, whose sum is σ = 130648092113448. Its totient is φ = 8041752576000.

The previous prime is 34001542254193. The next prime is 34001542254283. The reversal of 34001542254240 is 4245224510043.

34001542254240 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 1 + 5 + 4 + 225 + 424 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10906559090064 + 23094983164176 = 3302508^2 + 4805724^2 .

It is a super-2 number, since 2×34001542254240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34001542254195 and 34001542254204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4764060 + ... + 9523620.

Almost surely, 2^{34001542254240} is an apocalyptic number.

34001542254240 is a gapful number since it is divisible by the number (30) 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 34001542254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65324046056724).

34001542254240 is an abundant number, since it is smaller than the sum of its proper divisors (96646549859208).

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

34001542254240 is a wasteful number, since it uses less digits than its factorization.

34001542254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4759645 (or 4759623 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 34001542254240 its reverse (4245224510043), we get a palindrome (38246766764283).

The spelling of 34001542254240 in words is "thirty-four trillion, one billion, five hundred forty-two million, two hundred fifty-four thousand, two hundred forty".