142729332480 has 648 divisors, whose sum is σ = 594330609600. Its totient is φ = 31495274496.

The previous prime is 142729332461. The next prime is 142729332539. The reversal of 142729332480 is 84233927241.

142729332480 is a `hidden beast` number, since 1 + 4 + 272 + 9 + 332 + 48 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 16365561 + ... + 16374279.

Almost surely, 2^142729332480 is an apocalyptic number.

142729332480 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 142729332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297165304800).

142729332480 is an abundant number, since it is smaller than the sum of its proper divisors (451601277120).

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

142729332480 is a wasteful number, since it uses less digits than its factorization.

142729332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8789 (or 8765 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 142729332480 in words is "one hundred forty-two billion, seven hundred twenty-nine million, three hundred thirty-two thousand, four hundred eighty".