420532103420400 has 120 divisors (see below), whose sum is σ = 1357387745624064. Its totient is φ = 111285849209600.

The previous prime is 420532103420327. The next prime is 420532103420411. The reversal of 420532103420400 is 4024301235024.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1337413104 + ... + 1337727503.

Almost surely, 2^{420532103420400} is an apocalyptic number.

420532103420400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420532103420400 is an abundant number, since it is smaller than the sum of its proper divisors (936855642203664).

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

420532103420400 is a wasteful number, since it uses less digits than its factorization.

420532103420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675140759 (or 2675140748 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 420532103420400 its reverse (4024301235024), we get a palindrome (424556404655424).

The spelling of 420532103420400 in words is "four hundred twenty trillion, five hundred thirty-two billion, one hundred three million, four hundred twenty thousand, four hundred".