4344145342400 has 84 divisors (see below), whose sum is σ = 10743573882888. Its totient is φ = 1728837411840.

The previous prime is 4344145342343. The next prime is 4344145342441. The reversal of 4344145342400 is 42435414434.

It is a super-2 number, since 2×4344145342400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6575894 + ... + 7206293.

It is an arithmetic number, because the mean of its divisors is an integer number (127899689082).

Almost surely, 2^{4344145342400} is an apocalyptic number.

4344145342400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4344145342400 is an abundant number, since it is smaller than the sum of its proper divisors (6399428540488).

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

4344145342400 is a wasteful number, since it uses less digits than its factorization.

4344145342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13782406 (or 13782391 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 38.

The spelling of 4344145342400 in words is "four trillion, three hundred forty-four billion, one hundred forty-five million, three hundred forty-two thousand, four hundred".