145440400410 has 96 divisors (see below), whose sum is σ = 394864778880. Its totient is φ = 37071644544.

The previous prime is 145440400397. The next prime is 145440400429. The reversal of 145440400410 is 14004044541.

145440400410 is a `hidden beast` number, since 145 + 440 + 40 + 0 + 41 + 0 = 666.

It is a super-2 number, since 2×145440400410² (a number of 23 digits) contains 22 as substring.

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, 2996052 + ... + 3044208.

It is an arithmetic number, because the mean of its divisors is an integer number (4113174780).

Almost surely, 2^145440400410 is an apocalyptic number.

145440400410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145440400410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197432389440).

145440400410 is an abundant number, since it is smaller than the sum of its proper divisors (249424378470).

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

145440400410 is a wasteful number, since it uses less digits than its factorization.

145440400410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49652 (or 49649 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 145440400410 its reverse (14004044541), we get a palindrome (159444444951).

The spelling of 145440400410 in words is "one hundred forty-five billion, four hundred forty million, four hundred thousand, four hundred ten".