35138240406 has 216 divisors, whose sum is σ = 88175802312. Its totient is φ = 10076140800.

The previous prime is 35138240393. The next prime is 35138240443. The reversal of 35138240406 is 60404283153.

35138240406 is a `hidden beast` number, since 3 + 5 + 1 + 3 + 8 + 240 + 406 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 106157661 + ... + 106157991.

It is an arithmetic number, because the mean of its divisors is an integer number (408221307).

Almost surely, 2^35138240406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35138240406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44087901156).

35138240406 is an abundant number, since it is smaller than the sum of its proper divisors (53037561906).

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

35138240406 is a wasteful number, since it uses less digits than its factorization.

35138240406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 35138240406 in words is "thirty-five billion, one hundred thirty-eight million, two hundred forty thousand, four hundred six".