4035345345400 has 48 divisors (see below), whose sum is σ = 9391880733840. Its totient is φ = 1612468838400.

The previous prime is 4035345345397. The next prime is 4035345345403. The reversal of 4035345345400 is 45435435304.

It is an interprime number because it is at equal distance from previous prime (4035345345397) and next prime (4035345345403).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4035345345403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10239241 + ... + 10626040.

It is an arithmetic number, because the mean of its divisors is an integer number (195664181955).

Almost surely, 2^{4035345345400} is an apocalyptic number.

4035345345400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4035345345400 is an abundant number, since it is smaller than the sum of its proper divisors (5356535388440).

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

4035345345400 is a wasteful number, since it uses less digits than its factorization.

4035345345400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20866264 (or 20866255 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 40.

The spelling of 4035345345400 in words is "four trillion, thirty-five billion, three hundred forty-five million, three hundred forty-five thousand, four hundred".