420100742464 has 56 divisors (see below), whose sum is σ = 898619435168. Its totient is φ = 193707763200.

The previous prime is 420100742431. The next prime is 420100742497. The reversal of 420100742464 is 464247001024.

It is an interprime number because it is at equal distance from previous prime (420100742431) and next prime (420100742497).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 634219 + ... + 1114645.

It is an arithmetic number, because the mean of its divisors is an integer number (16046775628).

Almost surely, 2^420100742464 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 420100742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449309717584).

420100742464 is an abundant number, since it is smaller than the sum of its proper divisors (478518692704).

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

420100742464 is a wasteful number, since it uses less digits than its factorization.

420100742464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481503 (or 481493 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

Adding to 420100742464 its reverse (464247001024), we get a palindrome (884347743488).

The spelling of 420100742464 in words is "four hundred twenty billion, one hundred million, seven hundred forty-two thousand, four hundred sixty-four".