420738129168 has 320 divisors, whose sum is σ = 1292142297600. Its totient is φ = 117895938048.

The previous prime is 420738129131. The next prime is 420738129173. The reversal of 420738129168 is 861921837024.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 420738129168.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 236767896 + ... + 236769672.

It is an arithmetic number, because the mean of its divisors is an integer number (4037944680).

Almost surely, 2^420738129168 is an apocalyptic number.

420738129168 is a gapful number since it is divisible by the number (48) 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 420738129168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646071148800).

420738129168 is an abundant number, since it is smaller than the sum of its proper divisors (871404168432).

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

420738129168 is a wasteful number, since it uses less digits than its factorization.

420738129168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 420738129168 in words is "four hundred twenty billion, seven hundred thirty-eight million, one hundred twenty-nine thousand, one hundred sixty-eight".