1642221513240 has 384 divisors, whose sum is σ = 6254517669120. Its totient is φ = 341104512000.

The previous prime is 1642221513227. The next prime is 1642221513277. The reversal of 1642221513240 is 423151222461.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 290604415 + ... + 290610065.

It is an arithmetic number, because the mean of its divisors is an integer number (16287806430).

Almost surely, 2^{1642221513240} is an apocalyptic number.

1642221513240 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 1642221513240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3127258834560).

1642221513240 is an abundant number, since it is smaller than the sum of its proper divisors (4612296155880).

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

1642221513240 is a wasteful number, since it uses less digits than its factorization.

1642221513240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10183 (or 10172 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 1642221513240 in words is "one trillion, six hundred forty-two billion, two hundred twenty-one million, five hundred thirteen thousand, two hundred forty".