420363513229392 has 640 divisors, whose sum is σ = 1258171254028800. Its totient is φ = 136001006788608.

The previous prime is 420363513229333. The next prime is 420363513229397. The reversal of 420363513229392 is 293922315363024.

420363513229392 is a `hidden beast` number, since 4 + 2 + 0 + 36 + 3 + 513 + 2 + 2 + 9 + 3 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420363513229397) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2178049291248 + ... + 2178049291440.

It is an arithmetic number, because the mean of its divisors is an integer number (1965892584420).

Almost surely, 2^{420363513229392} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420363513229392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629085627014400).

420363513229392 is an abundant number, since it is smaller than the sum of its proper divisors (837807740799408).

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

420363513229392 is an frugal number, since it uses more digits than its factorization.

420363513229392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 420363513229392 in words is "four hundred twenty trillion, three hundred sixty-three billion, five hundred thirteen million, two hundred twenty-nine thousand, three hundred ninety-two".