340110200400 has 120 divisors (see below), whose sum is σ = 1089659049024. Its totient is φ = 90681676800.

The previous prime is 340110200399. The next prime is 340110200401. The reversal of 340110200400 is 4002011043.

It is an interprime number because it is at equal distance from previous prime (340110200399) and next prime (340110200401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×340110200400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 340110200400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340110200401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9090532 + ... + 9127868.

Almost surely, 2^340110200400 is an apocalyptic number.

340110200400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

340110200400 is an abundant number, since it is smaller than the sum of its proper divisors (749548848624).

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

340110200400 is a wasteful number, since it uses less digits than its factorization.

340110200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44949 (or 44938 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 340110200400 its reverse (4002011043), we get a palindrome (344112211443).

The spelling of 340110200400 in words is "three hundred forty billion, one hundred ten million, two hundred thousand, four hundred".