144434511040400 has 60 divisors (see below), whose sum is σ = 396575900321472. Its totient is φ = 49520403784320.

The previous prime is 144434511040397. The next prime is 144434511040411. The reversal of 144434511040400 is 4040115434441.

It is a happy number.

144434511040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×144434511040400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 25791874172 + ... + 25791879771.

Almost surely, 2^{144434511040400} is an apocalyptic number.

144434511040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144434511040400 is an abundant number, since it is smaller than the sum of its proper divisors (252141389281072).

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

144434511040400 is a wasteful number, since it uses less digits than its factorization.

144434511040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51583753968 (or 51583753957 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 144434511040400 its reverse (4040115434441), we get a palindrome (148474626474841).

The spelling of 144434511040400 in words is "one hundred forty-four trillion, four hundred thirty-four billion, five hundred eleven million, forty thousand, four hundred".