146641024400 has 120 divisors (see below), whose sum is σ = 381527455680. Its totient is φ = 53841553920.

The previous prime is 146641024339. The next prime is 146641024441. The reversal of 146641024400 is 4420146641.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 852029 + ... + 1009571.

It is an arithmetic number, because the mean of its divisors is an integer number (3179395464).

Almost surely, 2^146641024400 is an apocalyptic number.

146641024400 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 146641024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190763727840).

146641024400 is an abundant number, since it is smaller than the sum of its proper divisors (234886431280).

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

146641024400 is a wasteful number, since it uses less digits than its factorization.

146641024400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157753 (or 157742 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 146641024400 in words is "one hundred forty-six billion, six hundred forty-one million, twenty-four thousand, four hundred".