142480166400 has 1800 divisors, whose sum is σ = 640149230952. Its totient is φ = 30855168000.

The previous prime is 142480166393. The next prime is 142480166407. The reversal of 142480166400 is 4661084241.

It is a happy number.

142480166400 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 8 + 0 + 1 + 6 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (142480166393) and next prime (142480166407).

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142480166407) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 4596134385 + ... + 4596134415.

Almost surely, 2^142480166400 is an apocalyptic number.

142480166400 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 142480166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320074615476).

142480166400 is an abundant number, since it is smaller than the sum of its proper divisors (497669064552).

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

142480166400 is a wasteful number, since it uses less digits than its factorization.

142480166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 142480166400 in words is "one hundred forty-two billion, four hundred eighty million, one hundred sixty-six thousand, four hundred".