144725949685440 has 896 divisors, whose sum is σ = 529467775200000. Its totient is φ = 37190497075200.

The previous prime is 144725949685357. The next prime is 144725949685459. The reversal of 144725949685440 is 44586949527441.

It is a happy number.

144725949685440 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 2 + 5 + 94 + 96 + 8 + 5 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 9553490986 + ... + 9553506134.

It is an arithmetic number, because the mean of its divisors is an integer number (590923856250).

Almost surely, 2^{144725949685440} is an apocalyptic number.

144725949685440 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 144725949685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264733887600000).

144725949685440 is an abundant number, since it is smaller than the sum of its proper divisors (384741825514560).

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

144725949685440 is a wasteful number, since it uses less digits than its factorization.

144725949685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15546 (or 15530 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 144725949685440 in words is "one hundred forty-four trillion, seven hundred twenty-five billion, nine hundred forty-nine million, six hundred eighty-five thousand, four hundred forty".