35412372480 has 176 divisors, whose sum is σ = 113479195104. Its totient is φ = 9425387520.

The previous prime is 35412372467. The next prime is 35412372509. The reversal of 35412372480 is 8427321453.

It is a super-2 number, since 2×35412372480² (a number of 22 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 in 15 ways as a sum of consecutive naturals, for example, 9413800 + ... + 9417560.

It is an arithmetic number, because the mean of its divisors is an integer number (644768154).

Almost surely, 2^35412372480 is an apocalyptic number.

35412372480 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 35412372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56739597552).

35412372480 is an abundant number, since it is smaller than the sum of its proper divisors (78066822624).

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

35412372480 is a wasteful number, since it uses less digits than its factorization.

35412372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 35412372480 in words is "thirty-five billion, four hundred twelve million, three hundred seventy-two thousand, four hundred eighty".