420111002400 has 72 divisors (see below), whose sum is σ = 1367461320624. Its totient is φ = 112029600000.

The previous prime is 420111002387. The next prime is 420111002407. The reversal of 420111002400 is 4200111024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420111002400.

It is not an unprimeable number, because it can be changed into a prime (420111002407) 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, 87520726 + ... + 87525525.

It is an arithmetic number, because the mean of its divisors is an integer number (18992518342).

Almost surely, 2^420111002400 is an apocalyptic number.

420111002400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420111002400 is an abundant number, since it is smaller than the sum of its proper divisors (947350318224).

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

420111002400 is a wasteful number, since it uses less digits than its factorization.

420111002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175046274 (or 175046261 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 420111002400 its reverse (4200111024), we get a palindrome (424311113424).

The spelling of 420111002400 in words is "four hundred twenty billion, one hundred eleven million, two thousand, four hundred".