420200879040 has 448 divisors, whose sum is σ = 1513175454720. Its totient is φ = 109746524160.

The previous prime is 420200879027. The next prime is 420200879047. The reversal of 420200879040 is 40978002024.

It is a super-2 number, since 2×420200879040² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 420200878986 and 420200879004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420200879047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96307899 + ... + 96312261.

Almost surely, 2^420200879040 is an apocalyptic number.

420200879040 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 420200879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756587727360).

420200879040 is an abundant number, since it is smaller than the sum of its proper divisors (1092974575680).

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

420200879040 is a wasteful number, since it uses less digits than its factorization.

420200879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4617 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 420200879040 in words is "four hundred twenty billion, two hundred million, eight hundred seventy-nine thousand, forty".