420200915742720 has 1664 divisors, whose sum is σ = 1764017115033600. Its totient is φ = 92885219278848.

The previous prime is 420200915742719. The next prime is 420200915742767. The reversal of 420200915742720 is 27247519002024.

420200915742720 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 0 + 0 + 9 + 1 + 574 + 2 + 72 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23917170096 + ... + 23917187664.

Almost surely, 2^{420200915742720} is an apocalyptic number.

420200915742720 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 420200915742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882008557516800).

420200915742720 is an abundant number, since it is smaller than the sum of its proper divisors (1343816199290880).

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

420200915742720 is a wasteful number, since it uses less digits than its factorization.

420200915742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17818 (or 17790 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 420200915742720 in words is "four hundred twenty trillion, two hundred billion, nine hundred fifteen million, seven hundred forty-two thousand, seven hundred twenty".