420699666240 has 560 divisors, whose sum is σ = 1738372082304. Its totient is φ = 94581043200.

The previous prime is 420699666209. The next prime is 420699666241. The reversal of 420699666240 is 42666996024.

It is a tau number, because it is divible by the number of its divisors (560).

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 (420699666241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11048835 + ... + 11086845.

Almost surely, 2^420699666240 is an apocalyptic number.

420699666240 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 420699666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869186041152).

420699666240 is an abundant number, since it is smaller than the sum of its proper divisors (1317672416064).

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

420699666240 is a wasteful number, since it uses less digits than its factorization.

420699666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38108 (or 38089 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 420699666240 in words is "four hundred twenty billion, six hundred ninety-nine million, six hundred sixty-six thousand, two hundred forty".