420690074112 has 1920 divisors, whose sum is σ = 1727622758400. Its totient is φ = 98537472000.

The previous prime is 420690074089. The next prime is 420690074117. The reversal of 420690074112 is 211470096024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (420690074117) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6896558562 + ... + 6896558622.

It is an arithmetic number, because the mean of its divisors is an integer number (899803520).

Almost surely, 2^420690074112 is an apocalyptic number.

420690074112 is a gapful number since it is divisible by the number (42) 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 420690074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863811379200).

420690074112 is an abundant number, since it is smaller than the sum of its proper divisors (1306932684288).

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

420690074112 is a wasteful number, since it uses less digits than its factorization.

420690074112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 420690074112 in words is "four hundred twenty billion, six hundred ninety million, seventy-four thousand, one hundred twelve".