142780730400 has 576 divisors, whose sum is σ = 643818792960. Its totient is φ = 29668377600.

The previous prime is 142780730353. The next prime is 142780730437. The reversal of 142780730400 is 4037087241.

It is a happy number.

142780730400 is a `hidden beast` number, since 142 + 7 + 80 + 7 + 30 + 400 = 666.

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

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, 1620277 + ... + 1706123.

It is an arithmetic number, because the mean of its divisors is an integer number (1117740960).

Almost surely, 2^142780730400 is an apocalyptic number.

142780730400 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 142780730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321909396480).

142780730400 is an abundant number, since it is smaller than the sum of its proper divisors (501038062560).

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

142780730400 is a wasteful number, since it uses less digits than its factorization.

142780730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85894 (or 85875 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 142780730400 in words is "one hundred forty-two billion, seven hundred eighty million, seven hundred thirty thousand, four hundred".