420400252335200 has 144 divisors (see below), whose sum is σ = 1032959850807024. Its totient is φ = 167069478451200.

The previous prime is 420400252335197. The next prime is 420400252335227. The reversal of 420400252335200 is 2533252004024.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1098431870 + ... + 1098814530.

It is an arithmetic number, because the mean of its divisors is an integer number (7173332297271).

Almost surely, 2^{420400252335200} is an apocalyptic number.

420400252335200 is a gapful number since it is divisible by the number (40) 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 420400252335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516479925403512).

420400252335200 is an abundant number, since it is smaller than the sum of its proper divisors (612559598471824).

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

420400252335200 is a wasteful number, since it uses less digits than its factorization.

420400252335200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391585 (or 391572 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The spelling of 420400252335200 in words is "four hundred twenty trillion, four hundred billion, two hundred fifty-two million, three hundred thirty-five thousand, two hundred".