142210977350400 has 4320 divisors, whose sum is σ = 647711877120000. Its totient is φ = 30068620001280.

The previous prime is 142210977350389. The next prime is 142210977350459. The reversal of 142210977350400 is 4053779012241.

142210977350400 is a `hidden beast` number, since 1 + 4 + 22 + 109 + 7 + 73 + 50 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 954436089526 + ... + 954436089674.

Almost surely, 2^{142210977350400} is an apocalyptic number.

142210977350400 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 142210977350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323855938560000).

142210977350400 is an abundant number, since it is smaller than the sum of its proper divisors (505500899769600).

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

142210977350400 is a wasteful number, since it uses less digits than its factorization.

142210977350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 142210977350400 in words is "one hundred forty-two trillion, two hundred ten billion, nine hundred seventy-seven million, three hundred fifty thousand, four hundred".