146442340440 has 768 divisors, whose sum is σ = 577414656000. Its totient is φ = 31750963200.

The previous prime is 146442340411. The next prime is 146442340483. The reversal of 146442340440 is 44043244641.

146442340440 is a `hidden beast` number, since 1 + 4 + 644 + 2 + 3 + 4 + 0 + 4 + 4 + 0 = 666.

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 = 146442340395 and 146442340404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 419605386 + ... + 419605734.

It is an arithmetic number, because the mean of its divisors is an integer number (751842000).

Almost surely, 2^146442340440 is an apocalyptic number.

146442340440 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 146442340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288707328000).

146442340440 is an abundant number, since it is smaller than the sum of its proper divisors (430972315560).

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

146442340440 is a wasteful number, since it uses less digits than its factorization.

146442340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 146442340440 in words is "one hundred forty-six billion, four hundred forty-two million, three hundred forty thousand, four hundred forty".