35814405120 has 352 divisors, whose sum is σ = 125249674368. Its totient is φ = 8681029632.

The previous prime is 35814405089. The next prime is 35814405163. The reversal of 35814405120 is 2150441853.

It is a super-2 number, since 2×35814405120² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13377222 + ... + 13379898.

Almost surely, 2^35814405120 is an apocalyptic number.

35814405120 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 35814405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62624837184).

35814405120 is an abundant number, since it is smaller than the sum of its proper divisors (89435269248).

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

35814405120 is a wasteful number, since it uses less digits than its factorization.

35814405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785 (or 2767 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

Adding to 35814405120 its reverse (2150441853), we get a palindrome (37964846973).

The spelling of 35814405120 in words is "thirty-five billion, eight hundred fourteen million, four hundred five thousand, one hundred twenty".