142940436480 has 768 divisors, whose sum is σ = 531065808000. Its totient is φ = 36436967424.

The previous prime is 142940436461. The next prime is 142940436487. The reversal of 142940436480 is 84634049241.

142940436480 is a `hidden beast` number, since 1 + 42 + 94 + 0 + 43 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142940436487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 910448562 + ... + 910448718.

Almost surely, 2^142940436480 is an apocalyptic number.

142940436480 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 142940436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265532904000).

142940436480 is an abundant number, since it is smaller than the sum of its proper divisors (388125371520).

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

142940436480 is a wasteful number, since it uses less digits than its factorization.

142940436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 142940436480 in words is "one hundred forty-two billion, nine hundred forty million, four hundred thirty-six thousand, four hundred eighty".