35056812380040 has 640 divisors, whose sum is σ = 136340158521600. Its totient is φ = 7984760094720.

The previous prime is 35056812380039. The next prime is 35056812380053. The reversal of 35056812380040 is 4008321865053.

35056812380040 is a `hidden beast` number, since 3 + 5 + 0 + 568 + 1 + 2 + 3 + 80 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 349542621 + ... + 349642899.

It is an arithmetic number, because the mean of its divisors is an integer number (213031497690).

Almost surely, 2^{35056812380040} is an apocalyptic number.

35056812380040 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 35056812380040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68170079260800).

35056812380040 is an abundant number, since it is smaller than the sum of its proper divisors (101283346141560).

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

35056812380040 is a wasteful number, since it uses less digits than its factorization.

35056812380040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100907 (or 100894 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 35056812380040 in words is "thirty-five trillion, fifty-six billion, eight hundred twelve million, three hundred eighty thousand, forty".