35408354400032 has 12 divisors (see below), whose sum is σ = 69710197725126. Its totient is φ = 17704177200000.

The previous prime is 35408354399989. The next prime is 35408354400073. The reversal of 35408354400032 is 23000445380453.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 34772769160336 + 635585239696 = 5896844^2 + 797236^2 .

It is a super-2 number, since 2×35408354400032² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 553255537469 + ... + 553255537532.

Almost surely, 2^{35408354400032} is an apocalyptic number.

35408354400032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

35408354400032 is a deficient number, since it is larger than the sum of its proper divisors (34301843325094).

35408354400032 is a wasteful number, since it uses less digits than its factorization.

35408354400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106511075011 (or 1106511075003 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

Adding to 35408354400032 its reverse (23000445380453), we get a palindrome (58408799780485).

The spelling of 35408354400032 in words is "thirty-five trillion, four hundred eight billion, three hundred fifty-four million, four hundred thousand, thirty-two".