420618245376 has 864 divisors, whose sum is σ = 1443103506432. Its totient is φ = 107946639360.

The previous prime is 420618245363. The next prime is 420618245381. The reversal of 420618245376 is 673542816024.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2518672045 + ... + 2518672211.

It is an arithmetic number, because the mean of its divisors is an integer number (1670258688).

Almost surely, 2^420618245376 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 420618245376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721551753216).

420618245376 is an abundant number, since it is smaller than the sum of its proper divisors (1022485261056).

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

420618245376 is a wasteful number, since it uses less digits than its factorization.

420618245376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 420618245376 in words is "four hundred twenty billion, six hundred eighteen million, two hundred forty-five thousand, three hundred seventy-six".