420311020140 has 576 divisors, whose sum is σ = 1524475330560. Its totient is φ = 96207471360.

The previous prime is 420311020109. The next prime is 420311020183. The reversal of 420311020140 is 41020113024.

420311020140 is a `hidden beast` number, since 420 + 3 + 1 + 1 + 0 + 201 + 40 = 666.

It is a super-2 number, since 2×420311020140² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97134657 + ... + 97138983.

It is an arithmetic number, because the mean of its divisors is an integer number (2646658560).

Almost surely, 2^420311020140 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 420311020140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762237665280).

420311020140 is an abundant number, since it is smaller than the sum of its proper divisors (1104164310420).

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

420311020140 is a wasteful number, since it uses less digits than its factorization.

420311020140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4464 (or 4450 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 420311020140 its reverse (41020113024), we get a palindrome (461331133164).

The spelling of 420311020140 in words is "four hundred twenty billion, three hundred eleven million, twenty thousand, one hundred forty".