35213113440 has 288 divisors, whose sum is σ = 127919282400. Its totient is φ = 8795381760.

The previous prime is 35213113423. The next prime is 35213113447. The reversal of 35213113440 is 4431131253.

It is a happy number.

35213113440 is a `hidden beast` number, since 3 + 5 + 2 + 1 + 311 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35213113447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2427810 + ... + 2442270.

It is an arithmetic number, because the mean of its divisors is an integer number (444164175).

Almost surely, 2^35213113440 is an apocalyptic number.

35213113440 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 35213113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63959641200).

35213113440 is an abundant number, since it is smaller than the sum of its proper divisors (92706168960).

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

35213113440 is a wasteful number, since it uses less digits than its factorization.

35213113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14590 (or 14579 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 35213113440 its reverse (4431131253), we get a palindrome (39644244693).

The spelling of 35213113440 in words is "thirty-five billion, two hundred thirteen million, one hundred thirteen thousand, four hundred forty".