35214400040 has 64 divisors (see below), whose sum is σ = 80259379200. Its totient is φ = 13903494912.

The previous prime is 35214400027. The next prime is 35214400051. The reversal of 35214400040 is 4000441253.

It is a junction number, because it is equal to n+sod(n) for n = 35214399979 and 35214400015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4242134 + ... + 4250426.

It is an arithmetic number, because the mean of its divisors is an integer number (1254052800).

Almost surely, 2^35214400040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35214400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40129689600).

35214400040 is an abundant number, since it is smaller than the sum of its proper divisors (45044979160).

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

35214400040 is a wasteful number, since it uses less digits than its factorization.

35214400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9666 (or 9662 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 35214400040 its reverse (4000441253), we get a palindrome (39214841293).

The spelling of 35214400040 in words is "thirty-five billion, two hundred fourteen million, four hundred thousand, forty".