145671301440 has 1008 divisors, whose sum is σ = 605623359744. Its totient is φ = 31472271360.

The previous prime is 145671301439. The next prime is 145671301453. The reversal of 145671301440 is 44103176541.

145671301440 is a `hidden beast` number, since 14 + 567 + 1 + 30 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145671301395 and 145671301404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1414284429 + ... + 1414284531.

Almost surely, 2^145671301440 is an apocalyptic number.

145671301440 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 145671301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302811679872).

145671301440 is an abundant number, since it is smaller than the sum of its proper divisors (459952058304).

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

145671301440 is a wasteful number, since it uses less digits than its factorization.

145671301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 145671301440 its reverse (44103176541), we get a palindrome (189774477981).

The spelling of 145671301440 in words is "one hundred forty-five billion, six hundred seventy-one million, three hundred one thousand, four hundred forty".