145440425534400 has 336 divisors, whose sum is σ = 530921722406400. Its totient is φ = 38730163461120.

The previous prime is 145440425534399. The next prime is 145440425534413. The reversal of 145440425534400 is 4435524044541.

145440425534400 is a `hidden beast` number, since 1 + 4 + 54 + 4 + 0 + 4 + 2 + 553 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28719579 + ... + 33402021.

Almost surely, 2^{145440425534400} is an apocalyptic number.

145440425534400 is a gapful number since it is divisible by the number (10) 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 145440425534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265460861203200).

145440425534400 is an abundant number, since it is smaller than the sum of its proper divisors (385481296872000).

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

145440425534400 is a wasteful number, since it uses less digits than its factorization.

145440425534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683193 (or 4683172 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 45.

Adding to 145440425534400 its reverse (4435524044541), we get a palindrome (149875949578941).

The spelling of 145440425534400 in words is "one hundred forty-five trillion, four hundred forty billion, four hundred twenty-five million, five hundred thirty-four thousand, four hundred".