144971366400 has 864 divisors, whose sum is σ = 604908496920. Its totient is φ = 32511098880.

The previous prime is 144971366387. The next prime is 144971366413. The reversal of 144971366400 is 4663179441.

144971366400 is a `hidden beast` number, since 144 + 9 + 71 + 36 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (144971366387) and next prime (144971366413).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2735308774 + ... + 2735308826.

Almost surely, 2^144971366400 is an apocalyptic number.

144971366400 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 144971366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302454248460).

144971366400 is an abundant number, since it is smaller than the sum of its proper divisors (459937130520).

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

144971366400 is an frugal number, since it uses more digits than its factorization.

144971366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 144971366400 in words is "one hundred forty-four billion, nine hundred seventy-one million, three hundred sixty-six thousand, four hundred".