420353200110400 has 84 divisors (see below), whose sum is σ = 1034347528529152. Its totient is φ = 168138689564160.

The previous prime is 420353200110343. The next prime is 420353200110409. The reversal of 420353200110400 is 4011002353024.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420353200110409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103581979 + ... + 107563621.

Almost surely, 2^{420353200110400} is an apocalyptic number.

420353200110400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420353200110400 is an abundant number, since it is smaller than the sum of its proper divisors (613994328418752).

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

420353200110400 is a wasteful number, since it uses less digits than its factorization.

420353200110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047648 (or 4047633 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 420353200110400 its reverse (4011002353024), we get a palindrome (424364202463424).

The spelling of 420353200110400 in words is "four hundred twenty trillion, three hundred fifty-three billion, two hundred million, one hundred ten thousand, four hundred".