146406534340440 has 512 divisors, whose sum is σ = 487021724098560. Its totient is φ = 34913277235200.

The previous prime is 146406534340411. The next prime is 146406534340453. The reversal of 146406534340440 is 44043435604641.

It is a self number, because there is not a number n which added to its sum of digits gives 146406534340440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39881919805 + ... + 39881923475.

It is an arithmetic number, because the mean of its divisors is an integer number (951214304880).

Almost surely, 2^{146406534340440} is an apocalyptic number.

146406534340440 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 146406534340440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243510862049280).

146406534340440 is an abundant number, since it is smaller than the sum of its proper divisors (340615189758120).

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

146406534340440 is a wasteful number, since it uses less digits than its factorization.

146406534340440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255 (or 5251 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 48.

The spelling of 146406534340440 in words is "one hundred forty-six trillion, four hundred six billion, five hundred thirty-four million, three hundred forty thousand, four hundred forty".