145350411440 has 80 divisors (see below), whose sum is σ = 364086988608. Its totient is φ = 53645442048.

The previous prime is 145350411421. The next prime is 145350411449. The reversal of 145350411440 is 44114053541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×145350411440² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145350411397 and 145350411406.

It is not an unprimeable number, because it can be changed into a prime (145350411449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2575202 + ... + 2631038.

Almost surely, 2^145350411440 is an apocalyptic number.

145350411440 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 145350411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182043494304).

145350411440 is an abundant number, since it is smaller than the sum of its proper divisors (218736577168).

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

145350411440 is a wasteful number, since it uses less digits than its factorization.

145350411440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58366 (or 58360 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 145350411440 its reverse (44114053541), we get a palindrome (189464464981).

The spelling of 145350411440 in words is "one hundred forty-five billion, three hundred fifty million, four hundred eleven thousand, four hundred forty".