420702036004080 has 320 divisors, whose sum is σ = 1473741485222400. Its totient is φ = 110278551859200.

The previous prime is 420702036004039. The next prime is 420702036004087. The reversal of 420702036004080 is 80400630207024.

420702036004080 is a `hidden beast` number, since 4 + 2 + 0 + 7 + 0 + 2 + 0 + 3 + 600 + 40 + 8 + 0 = 666.

It is a super-2 number, since 2×420702036004080² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420702036004087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2121904312 + ... + 2122102568.

It is an arithmetic number, because the mean of its divisors is an integer number (4605442141320).

Almost surely, 2^{420702036004080} is an apocalyptic number.

420702036004080 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 420702036004080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736870742611200).

420702036004080 is an abundant number, since it is smaller than the sum of its proper divisors (1053039449218320).

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

420702036004080 is a wasteful number, since it uses less digits than its factorization.

420702036004080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214989 (or 214977 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 420702036004080 in words is "four hundred twenty trillion, seven hundred two billion, thirty-six million, four thousand, eighty".