142216549440 has 336 divisors, whose sum is σ = 525864124800. Its totient is φ = 32469147648.

The previous prime is 142216549309. The next prime is 142216549459. The reversal of 142216549440 is 44945612241.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 142216549392 and 142216549401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75686421 + ... + 75688299.

It is an arithmetic number, because the mean of its divisors is an integer number (1565071800).

Almost surely, 2^142216549440 is an apocalyptic number.

142216549440 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 142216549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262932062400).

142216549440 is an abundant number, since it is smaller than the sum of its proper divisors (383647575360).

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

142216549440 is a wasteful number, since it uses less digits than its factorization.

142216549440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 142216549440 in words is "one hundred forty-two billion, two hundred sixteen million, five hundred forty-nine thousand, four hundred forty".