420121111304400 has 240 divisors, whose sum is σ = 1468555694783040. Its totient is φ = 101818171699200.

The previous prime is 420121111304347. The next prime is 420121111304473. The reversal of 420121111304400 is 4403111121024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41203404 + ... + 50378196.

It is an arithmetic number, because the mean of its divisors is an integer number (6118982061596).

Almost surely, 2^{420121111304400} is an apocalyptic number.

420121111304400 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 420121111304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734277847391520).

420121111304400 is an abundant number, since it is smaller than the sum of its proper divisors (1048434583478640).

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

420121111304400 is a wasteful number, since it uses less digits than its factorization.

420121111304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9178294 (or 9178283 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 420121111304400 its reverse (4403111121024), we get a palindrome (424524222425424).

The spelling of 420121111304400 in words is "four hundred twenty trillion, one hundred twenty-one billion, one hundred eleven million, three hundred four thousand, four hundred".