142974960480 has 576 divisors, whose sum is σ = 562658503680. Its totient is φ = 32696524800.

The previous prime is 142974960473. The next prime is 142974960497. The reversal of 142974960480 is 84069479241.

142974960480 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 74 + 96 + 0 + 480 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81559284 + ... + 81561036.

It is an arithmetic number, because the mean of its divisors is an integer number (976837680).

Almost surely, 2^142974960480 is an apocalyptic number.

142974960480 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 142974960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281329251840).

142974960480 is an abundant number, since it is smaller than the sum of its proper divisors (419683543200).

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

142974960480 is a wasteful number, since it uses less digits than its factorization.

142974960480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 142974960480 in words is "one hundred forty-two billion, nine hundred seventy-four million, nine hundred sixty thousand, four hundred eighty".