142291766400 has 768 divisors, whose sum is σ = 554488320000. Its totient is φ = 32053432320.

The previous prime is 142291766291. The next prime is 142291766413. The reversal of 142291766400 is 4667192241.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 260130927 + ... + 260131473.

It is an arithmetic number, because the mean of its divisors is an integer number (721990000).

Almost surely, 2^142291766400 is an apocalyptic number.

142291766400 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 142291766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277244160000).

142291766400 is an abundant number, since it is smaller than the sum of its proper divisors (412196553600).

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

142291766400 is an equidigital number, since it uses as much as digits as its factorization.

142291766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 142291766400 in words is "one hundred forty-two billion, two hundred ninety-one million, seven hundred sixty-six thousand, four hundred".