642014222150400 has 2592 divisors, whose sum is σ = 2464633720012800. Its totient is φ = 146865844224000.

The previous prime is 642014222150383. The next prime is 642014222150473. The reversal of 642014222150400 is 4051222410246.

It is a super-2 number, since 2×642014222150400² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 590629458657 + ... + 590629459743.

Almost surely, 2^{642014222150400} is an apocalyptic number.

642014222150400 is a gapful number since it is divisible by the number (60) 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 642014222150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232316860006400).

642014222150400 is an abundant number, since it is smaller than the sum of its proper divisors (1822619497862400).

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

642014222150400 is a wasteful number, since it uses less digits than its factorization.

642014222150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

Adding to 642014222150400 its reverse (4051222410246), we get a palindrome (646065444560646).

The spelling of 642014222150400 in words is "six hundred forty-two trillion, fourteen billion, two hundred twenty-two million, one hundred fifty thousand, four hundred".