35414400000 has 1056 divisors, whose sum is σ = 147374567424. Its totient is φ = 7372800000.

The previous prime is 35414399981. The next prime is 35414400041. The reversal of 35414400000 is 441453.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 35414400000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1142399985 + ... + 1142400015.

Almost surely, 2^35414400000 is an apocalyptic number.

35414400000 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 35414400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73687283712).

35414400000 is an abundant number, since it is smaller than the sum of its proper divisors (111960167424).

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

35414400000 is an equidigital number, since it uses as much as digits as its factorization.

35414400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 35414400000 its reverse (441453), we get a palindrome (35414841453).

The spelling of 35414400000 in words is "thirty-five billion, four hundred fourteen million, four hundred thousand".