420414200520000 has 560 divisors, whose sum is σ = 1428315805036032. Its totient is φ = 109022284800000.

The previous prime is 420414200519891. The next prime is 420414200520031. The reversal of 420414200520000 is 25002414024.

It is a happy number.

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 79 ways as a sum of consecutive naturals, for example, 8662415734 + ... + 8662464266.

Almost surely, 2^{420414200520000} is an apocalyptic number.

420414200520000 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 420414200520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714157902518016).

420414200520000 is an abundant number, since it is smaller than the sum of its proper divisors (1007901604516032).

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

420414200520000 is a wasteful number, since it uses less digits than its factorization.

420414200520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50556 (or 50531 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 420414200520000 its reverse (25002414024), we get a palindrome (420439202934024).

The spelling of 420414200520000 in words is "four hundred twenty trillion, four hundred fourteen billion, two hundred million, five hundred twenty thousand".