35028190409472 has 576 divisors, whose sum is σ = 115528936427520. Its totient is φ = 10396001894400.

The previous prime is 35028190409353. The next prime is 35028190409489. The reversal of 35028190409472 is 27490409182053.

35028190409472 is a `hidden beast` number, since 3 + 5 + 0 + 2 + 8 + 190 + 409 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 63 ways as a sum of consecutive naturals, for example, 855139072 + ... + 855180032.

Almost surely, 2^{35028190409472} is an apocalyptic number.

35028190409472 is a gapful number since it is divisible by the number (32) 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 35028190409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57764468213760).

35028190409472 is an abundant number, since it is smaller than the sum of its proper divisors (80500746018048).

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

35028190409472 is a wasteful number, since it uses less digits than its factorization.

35028190409472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41337 (or 41317 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 35028190409472 in words is "thirty-five trillion, twenty-eight billion, one hundred ninety million, four hundred nine thousand, four hundred seventy-two".