1642221240000 has 560 divisors, whose sum is σ = 5969007006336. Its totient is φ = 395033600000.

The previous prime is 1642221239999. The next prime is 1642221240071. The reversal of 1642221240000 is 421222461.

It is a happy number.

It is a super-2 number, since 2×1642221240000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 172915252 + ... + 172924748.

Almost surely, 2^{1642221240000} is an apocalyptic number.

1642221240000 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 1642221240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984503503168).

1642221240000 is an abundant number, since it is smaller than the sum of its proper divisors (4326785766336).

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

1642221240000 is a wasteful number, since it uses less digits than its factorization.

1642221240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9674 (or 9649 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1642221240000 its reverse (421222461), we get a palindrome (1642642462461).

The spelling of 1642221240000 in words is "one trillion, six hundred forty-two billion, two hundred twenty-one million, two hundred forty thousand".