35426512474240 has 128 divisors (see below), whose sum is σ = 85372681605120. Its totient is φ = 14056668057600.

The previous prime is 35426512474229. The next prime is 35426512474259. The reversal of 35426512474240 is 4247421562453.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×35426512474240³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532432014 + ... + 532498546.

It is an arithmetic number, because the mean of its divisors is an integer number (666974075040).

Almost surely, 2^{35426512474240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35426512474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42686340802560).

35426512474240 is an abundant number, since it is smaller than the sum of its proper divisors (49946169130880).

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

35426512474240 is a wasteful number, since it uses less digits than its factorization.

35426512474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73230 (or 73218 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 49.

The spelling of 35426512474240 in words is "thirty-five trillion, four hundred twenty-six billion, five hundred twelve million, four hundred seventy-four thousand, two hundred forty".